28576800 has 378 divisors, whose sum is σ = 121673853. Its totient is φ = 6531840.

The previous prime is 28576789. The next prime is 28576819. The reversal of 28576800 is 867582.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28576800 is a `hidden beast` number, since 2 + 8 + 576 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 571536 = 5292^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3780.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4082397 + ... + 4082403.

Almost surely, 2^28576800 is an apocalyptic number.

28576800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28576800

28576800 is an abundant number, since it is smaller than the sum of its proper divisors (93097053).

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

28576800 is an equidigital number, since it uses as much as digits as its factorization.

28576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 28576800 is about 5345.7272657703. The cubic root of 28576800 is about 305.7298654035.

The spelling of 28576800 in words is "twenty-eight million, five hundred seventy-six thousand, eight hundred".