28512 has 60 divisors (see below), whose sum is σ = 91476. Its totient is φ = 8640.

The previous prime is 28499. The next prime is 28513. The reversal of 28512 is 21582.

28512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (160) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 9 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28513) by changing a digit.

28512 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 9 ways as a sum of consecutive naturals, for example, 2587 + ... + 2597.

2²⁸⁵¹² is an apocalyptic number.

28512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45738).

28512 is an abundant number, since it is smaller than the sum of its proper divisors (62964).

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

28512 is a wasteful number, since it uses less digits than its factorization.

28512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 16 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 28512 is about 168.8549673536. The cubic root of 28512 is about 30.5498602180.

The spelling of 28512 in words is "twenty-eight thousand, five hundred twelve".