28585800 has 72 divisors (see below), whose sum is σ = 96006690. Its totient is φ = 7622400.

The previous prime is 28585787. The next prime is 28585801. The reversal of 28585800 is 858582.

28585800 is a `hidden beast` number, since 28 + 58 + 580 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26563716 + 2022084 = 5154^2 + 1422^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28585801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6141 + ... + 9740.

Almost surely, 2^28585800 is an apocalyptic number.

28585800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28585800 is an abundant number, since it is smaller than the sum of its proper divisors (67420890).

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

28585800 is a wasteful number, since it uses less digits than its factorization.

28585800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15903 (or 15891 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 28585800 is about 5346.5689932891. The cubic root of 28585800 is about 305.7619576366.

The spelling of 28585800 in words is "twenty-eight million, five hundred eighty-five thousand, eight hundred".