28800576 has 112 divisors (see below), whose sum is σ = 96804480. Its totient is φ = 8225280.

The previous prime is 28800559. The next prime is 28800619. The reversal of 28800576 is 67500882.

28800576 is a `hidden beast` number, since 2 + 8 + 80 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28800576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10906 + ... + 13286.

Almost surely, 2^28800576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28800576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48402240).

28800576 is an abundant number, since it is smaller than the sum of its proper divisors (68003904).

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

28800576 is a wasteful number, since it uses less digits than its factorization.

28800576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2393 counting only the distinct ones).

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

The square root of 28800576 is about 5366.6168113626. The cubic root of 28800576 is about 306.5258164356.

The spelling of 28800576 in words is "twenty-eight million, eight hundred thousand, five hundred seventy-six".