8028

8028 is a natural number that follows 8027 and precedes 8029. It is an even composite number with a prime factorization of 8028 = 2^2 × 3^2 × 223, where 223 is a prime. This factorization yields 18 positive divisors in total.

The full set of divisors, listed in ascending order, is: 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, and 8028. Because 8028 is divisible by 36 (and by 223), it is also divisible by 9, 18, and many of their multiples. The sum of its divisors equals 20384, which is greater than 2×8028 = 16056; therefore 8028 is an abundant number. The sum of its proper divisors (20384 − 8028 = 12356) also exceeds 8028, confirming its abundance.

In base-10 notation, the digits of 8028 sum to 18, making it a Harshad (or Niven) number, since 8028 ÷ 18 = 446 is an integer. Beyond its mathematical properties, 8028 can appear as a catalog or model number, or as a designation in various systems, without implying a commonly recognized single use. In calendar terms, 8028 may denote a year far in the future. See also nearby integers such as 8027 and 8029 for contextual reference.