28587564 has 36 divisors (see below), whose sum is σ = 73631376. Its totient is φ = 9348768.

The previous prime is 28587563. The next prime is 28587577. The reversal of 28587564 is 46578582.

28587564 is a `hidden beast` number, since 2 + 8 + 5 + 87 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×28587564⁴ (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28587563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5584 + ... + 9399.

It is an arithmetic number, because the mean of its divisors is an integer number (2045316).

Almost surely, 2^28587564 is an apocalyptic number.

It is an amenable number.

28587564 is an abundant number, since it is smaller than the sum of its proper divisors (45043812).

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

28587564 is a wasteful number, since it uses less digits than its factorization.

28587564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15046 (or 15041 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 28587564 is about 5346.7339563513. The cubic root of 28587564 is about 305.7682469247.

The spelling of 28587564 in words is "twenty-eight million, five hundred eighty-seven thousand, five hundred sixty-four".