28564 has 12 divisors (see below), whose sum is σ = 51604. Its totient is φ = 13824.

The previous prime is 28559. The next prime is 28571. The reversal of 28564 is 46582.

It can be written as a sum of positive squares in 2 ways, for example, as 16900 + 11664 = 130^2 + 108^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

28564 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, 52 + ... + 244.

28564 is a Friedman number, since it can be written as (8+5)^4+6/2, using all its digits and the basic arithmetic operations.

2²⁸⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

28564 is a deficient number, since it is larger than the sum of its proper divisors (23040).

28564 is a wasteful number, since it uses less digits than its factorization.

28564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 28564 is about 169.0088755066. The cubic root of 28564 is about 30.5684211508.

The spelling of 28564 in words is "twenty-eight thousand, five hundred sixty-four".