28590796800 has 546 divisors, whose sum is σ = 106573690752. Its totient is φ = 7604305920.

The previous prime is 28590796781. The next prime is 28590796811. The reversal of 28590796800 is 869709582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 74649409 + ... + 74649791.

Almost surely, 2^28590796800 is an apocalyptic number.

28590796800 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 28590796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53286845376).

28590796800 is an abundant number, since it is smaller than the sum of its proper divisors (77982893952).

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

28590796800 is an frugal number, since it uses more digits than its factorization.

28590796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 28590796800 in words is "twenty-eight billion, five hundred ninety million, seven hundred ninety-six thousand, eight hundred".