28032 has 32 divisors (see below), whose sum is σ = 75480. Its totient is φ = 9216.

The previous prime is 28031. The next prime is 28051. The reversal of 28032 is 23082.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28032.

It is not an unprimeable number, because it can be changed into a prime (28031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 348 + ... + 420.

2²⁸⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37740).

28032 is an abundant number, since it is smaller than the sum of its proper divisors (47448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28032 is an equidigital number, since it uses as much as digits as its factorization.

28032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 28032 is about 167.4275962917. The cubic root of 28032 is about 30.3774532727.

28032 divided by its product of nonzero digits (96) gives a palindrome (292).

Subtracting from 28032 its reverse (23082), we obtain a triangular number (4950 = T₉₉).

The spelling of 28032 in words is "twenty-eight thousand, thirty-two".