28345204800 has 840 divisors, whose sum is σ = 115931106720. Its totient is φ = 6735052800.

The previous prime is 28345204763. The next prime is 28345204817. The reversal of 28345204800 is 840254382.

28345204800 is a `hidden beast` number, since 28 + 34 + 520 + 4 + 80 + 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 119 ways as a sum of consecutive naturals, for example, 84110232 + ... + 84110568.

Almost surely, 2^28345204800 is an apocalyptic number.

28345204800 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 28345204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57965553360).

28345204800 is an abundant number, since it is smaller than the sum of its proper divisors (87585901920).

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

28345204800 is a wasteful number, since it uses less digits than its factorization.

28345204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 28345204800 in words is "twenty-eight billion, three hundred forty-five million, two hundred four thousand, eight hundred".