28760800 has 36 divisors (see below), whose sum is σ = 70214256. Its totient is φ = 11504000.

The previous prime is 28760783. The next prime is 28760827. The reversal of 28760800 is 806782.

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, 17176 + ... + 18775.

It is an arithmetic number, because the mean of its divisors is an integer number (1950396).

Almost surely, 2^28760800 is an apocalyptic number.

28760800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28760800 is an abundant number, since it is smaller than the sum of its proper divisors (41453456).

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

28760800 is a wasteful number, since it uses less digits than its factorization.

28760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35971 (or 35958 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 28760800 is about 5362.9096580122. The cubic root of 28760800 is about 306.3846388416.

The spelling of 28760800 in words is "twenty-eight million, seven hundred sixty thousand, eight hundred".