28332 has 18 divisors (see below), whose sum is σ = 71708. Its totient is φ = 9432.

The previous prime is 28319. The next prime is 28349. The reversal of 28332 is 23382.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2⁵ + 8 + 3⁸ + 3⁹ + 2¹¹ .

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28332.

It is an unprimeable number.

28332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 358 + ... + 429.

2²⁸³³² is an apocalyptic number.

It is an amenable number.

28332 is an abundant number, since it is smaller than the sum of its proper divisors (43376).

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

28332 is a wasteful number, since it uses less digits than its factorization.

28332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 792 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 28332 is about 168.3211216693. The cubic root of 28332 is about 30.4854360280.

Subtracting from 28332 its reverse (23382), we obtain a triangular number (4950 = T₉₉).

The spelling of 28332 in words is "twenty-eight thousand, three hundred thirty-two".