28532 has 12 divisors (see below), whose sum is σ = 57120. Its totient is φ = 12216.

The previous prime is 28517. The next prime is 28537. The reversal of 28532 is 23582.

28532 is an admirable number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2⁵ + 8⁴ + 5⁴ + 3⁹ + 2¹² .

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28537) by changing a digit.

28532 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 3 ways as a sum of consecutive naturals, for example, 482 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (4760).

2²⁸⁵³² is an apocalyptic number.

It is an amenable number.

28532 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28560).

28532 is a wasteful number, since it uses less digits than its factorization.

28532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1028 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 28532 is about 168.9141793930. The cubic root of 28532 is about 30.5570017069.

Subtracting from 28532 its reverse (23582), we obtain a triangular number (4950 = T₉₉).

The spelling of 28532 in words is "twenty-eight thousand, five hundred thirty-two".