628857424800 has 648 divisors, whose sum is σ = 2565779842080. Its totient is φ = 144422784000.

The previous prime is 628857424799. The next prime is 628857424813. The reversal of 628857424800 is 8424758826.

628857424800 is a `hidden beast` number, since 6 + 28 + 8 + 574 + 2 + 48 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16533805 + ... + 16571795.

Almost surely, 2^628857424800 is an apocalyptic number.

628857424800 is a gapful number since it is divisible by the number (60) 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 628857424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282889921040).

628857424800 is an abundant number, since it is smaller than the sum of its proper divisors (1936922417280).

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

628857424800 is a wasteful number, since it uses less digits than its factorization.

628857424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38058 (or 38031 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 628857424800 in words is "six hundred twenty-eight billion, eight hundred fifty-seven million, four hundred twenty-four thousand, eight hundred".