28558108800 has 576 divisors, whose sum is σ = 111183508800. Its totient is φ = 6937436160.

The previous prime is 28558108793. The next prime is 28558108849. The reversal of 28558108800 is 880185582.

28558108800 is a `hidden beast` number, since 2 + 8 + 558 + 10 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 31074741 + ... + 31075659.

It is an arithmetic number, because the mean of its divisors is an integer number (193026925).

Almost surely, 2^28558108800 is an apocalyptic number.

28558108800 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 28558108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55591754400).

28558108800 is an abundant number, since it is smaller than the sum of its proper divisors (82625400000).

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

28558108800 is a wasteful number, since it uses less digits than its factorization.

28558108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 28558108800 in words is "twenty-eight billion, five hundred fifty-eight million, one hundred eight thousand, eight hundred".