28585600 has 48 divisors (see below), whose sum is σ = 70623270. Its totient is φ = 11432960.

The previous prime is 28585589. The next prime is 28585607. The reversal of 28585600 is 658582.

It can be written as a sum of positive squares in 3 ways, for example, as 17774656 + 10810944 = 4216^2 + 3288^2 .

It is not an unprimeable number, because it can be changed into a prime (28585607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1267 + ... + 7666.

Almost surely, 2^28585600 is an apocalyptic number.

28585600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28585600 is an abundant number, since it is smaller than the sum of its proper divisors (42037670).

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

28585600 is an equidigital number, since it uses as much as digits as its factorization.

28585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8957 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 28585600 is about 5346.5502896728. The cubic root of 28585600 is about 305.7612445491.

The spelling of 28585600 in words is "twenty-eight million, five hundred eighty-five thousand, six hundred".