28584 has 24 divisors (see below), whose sum is σ = 77610. Its totient is φ = 9504.

The previous prime is 28579. The next prime is 28591. The reversal of 28584 is 48582.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 6084 = 150^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

28584 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, 127 + ... + 270.

2²⁸⁵⁸⁴ is an apocalyptic number.

28584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28584 is an abundant number, since it is smaller than the sum of its proper divisors (49026).

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

28584 is a wasteful number, since it uses less digits than its factorization.

28584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 28584 is about 169.0680336433. The cubic root of 28584 is about 30.5755539729.

The spelling of 28584 in words is "twenty-eight thousand, five hundred eighty-four".