28800864 has 36 divisors (see below), whose sum is σ = 81903276. Its totient is φ = 9600192.

The previous prime is 28800859. The next prime is 28800881. The reversal of 28800864 is 46800882.

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

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

28800864 is a modest number, since divided by 864 gives 288 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49714 + ... + 50289.

It is an arithmetic number, because the mean of its divisors is an integer number (2275091).

Almost surely, 2^28800864 is an apocalyptic number.

28800864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28800864 is an abundant number, since it is smaller than the sum of its proper divisors (53102412).

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

28800864 is a wasteful number, since it uses less digits than its factorization.

28800864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100019 (or 100008 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 28800864 is about 5366.6436438430. The cubic root of 28800864 is about 306.5268381645.

The spelling of 28800864 in words is "twenty-eight million, eight hundred thousand, eight hundred sixty-four".