diff --git a/django/views/generic/dates.py b/django/views/generic/dates.py
index 2ec8aabf6a..3b55014e73 100644
--- a/django/views/generic/dates.py
+++ b/django/views/generic/dates.py
@@ -55,7 +55,10 @@ class YearMixin:
 
         The interval is defined by start date <= item date < next start date.
         """
-        return date.replace(year=date.year + 1, month=1, day=1)
+        try:
+            return date.replace(year=date.year + 1, month=1, day=1)
+        except ValueError:
+            raise Http404(_("Date out of range"))
 
     def _get_current_year(self, date):
         """Return the start date of the current interval."""
@@ -102,7 +105,10 @@ class MonthMixin:
         The interval is defined by start date <= item date < next start date.
         """
         if date.month == 12:
-            return date.replace(year=date.year + 1, month=1, day=1)
+            try:
+                return date.replace(year=date.year + 1, month=1, day=1)
+            except ValueError:
+                raise Http404(_("Date out of range"))
         else:
             return date.replace(month=date.month + 1, day=1)
 
@@ -196,7 +202,10 @@ class WeekMixin:
 
         The interval is defined by start date <= item date < next start date.
         """
-        return date + datetime.timedelta(days=7 - self._get_weekday(date))
+        try:
+            return date + datetime.timedelta(days=7 - self._get_weekday(date))
+        except OverflowError:
+            raise Http404(_("Date out of range"))
 
     def _get_current_week(self, date):
         """Return the start date of the current interval."""
diff --git a/docs/releases/1.11.2.txt b/docs/releases/1.11.2.txt
index 99e82f75a0..ab7d04959f 100644
--- a/docs/releases/1.11.2.txt
+++ b/docs/releases/1.11.2.txt
@@ -44,3 +44,6 @@ Bugfixes
   invalid SQL (:ticket:`28199`).
 
 * Corrected detection of GDAL 2.1 on Windows (:ticket:`28181`).
+
+* Made date-based generic views return a 404 rather than crash when given an
+  out of range date (:ticket:`28209`).
diff --git a/tests/generic_views/test_dates.py b/tests/generic_views/test_dates.py
index bf462b44fb..454b9e5a1d 100644
--- a/tests/generic_views/test_dates.py
+++ b/tests/generic_views/test_dates.py
@@ -661,6 +661,18 @@ class DateDetailViewTests(TestDataMixin, TestCase):
         self.assertEqual(res.context['book'], b)
         self.assertTemplateUsed(res, 'generic_views/book_detail.html')
 
+    def test_year_out_of_range(self):
+        urls = [
+            '/dates/books/9999/',
+            '/dates/books/9999/12/',
+            '/dates/books/9999/week/52/',
+        ]
+        for url in urls:
+            with self.subTest(url=url):
+                res = self.client.get(url)
+                self.assertEqual(res.status_code, 404)
+                self.assertEqual(res.context['exception'], 'Date out of range')
+
     def test_invalid_url(self):
         with self.assertRaises(AttributeError):
             self.client.get("/dates/books/2008/oct/01/nopk/")