28536 has 32 divisors (see below), whose sum is σ = 75600. Its totient is φ = 8960.

The previous prime is 28517. The next prime is 28537. The reversal of 28536 is 63582.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹² + 8⁴ + 5⁴ + 3⁹ + 6² .

It is a nialpdrome 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.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676 + ... + 716.

2²⁸⁵³⁶ 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 28536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

28536 is an abundant number, since it is smaller than the sum of its proper divisors (47064).

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

28536 is a wasteful number, since it uses less digits than its factorization.

28536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 28536 is about 168.9260193102. The cubic root of 28536 is about 30.5584296042.

The spelling of 28536 in words is "twenty-eight thousand, five hundred thirty-six".