28765800 has 192 divisors, whose sum is σ = 113385600. Its totient is φ = 6566400.

The previous prime is 28765771. The next prime is 28765813. The reversal of 28765800 is 856782.

28765800 is a `hidden beast` number, since 2 + 8 + 76 + 580 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 37420 + ... + 38180.

It is an arithmetic number, because the mean of its divisors is an integer number (590550).

Almost surely, 2^28765800 is an apocalyptic number.

28765800 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 28765800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56692800).

28765800 is an abundant number, since it is smaller than the sum of its proper divisors (84619800).

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

28765800 is a wasteful number, since it uses less digits than its factorization.

28765800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 778 counting only the distinct ones).

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

The square root of 28765800 is about 5363.3758026079. The cubic root of 28765800 is about 306.4023925715.

The spelling of 28765800 in words is "twenty-eight million, seven hundred sixty-five thousand, eight hundred".