28826265600 has 864 divisors, whose sum is σ = 115968827520. Its totient is φ = 6839500800.

The previous prime is 28826265521. The next prime is 28826265617. The reversal of 28826265600 is 656262882.

28826265600 is a `hidden beast` number, since 2 + 8 + 82 + 6 + 2 + 6 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 613324777 + ... + 613324823.

It is an arithmetic number, because the mean of its divisors is an integer number (134223180).

Almost surely, 2^28826265600 is an apocalyptic number.

28826265600 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 28826265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57984413760).

28826265600 is an abundant number, since it is smaller than the sum of its proper divisors (87142561920).

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

28826265600 is a wasteful number, since it uses less digits than its factorization.

28826265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28826265600 in words is "twenty-eight billion, eight hundred twenty-six million, two hundred sixty-five thousand, six hundred".