28567684800 has 504 divisors, whose sum is σ = 107526399120. Its totient is φ = 7373721600.

The previous prime is 28567684771. The next prime is 28567684823. The reversal of 28567684800 is 848676582.

It is a super-2 number, since 2×28567684800² (a number of 22 digits) contains 22 as substring.

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

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, 224942337 + ... + 224942463.

It is an arithmetic number, because the mean of its divisors is an integer number (213346030).

Almost surely, 2^28567684800 is an apocalyptic number.

28567684800 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 28567684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53763199560).

28567684800 is an abundant number, since it is smaller than the sum of its proper divisors (78958714320).

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

28567684800 is a wasteful number, since it uses less digits than its factorization.

28567684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 28567684800 in words is "twenty-eight billion, five hundred sixty-seven million, six hundred eighty-four thousand, eight hundred".