628745932800 has 624 divisors, whose sum is σ = 2431547496000. Its totient is φ = 158827806720.

The previous prime is 628745932799. The next prime is 628745932813. The reversal of 628745932800 is 8239547826.

628745932800 is a `hidden beast` number, since 6 + 2 + 87 + 459 + 32 + 80 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 52525216 + ... + 52537184.

Almost surely, 2^628745932800 is an apocalyptic number.

628745932800 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 628745932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215773748000).

628745932800 is an abundant number, since it is smaller than the sum of its proper divisors (1802801563200).

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

628745932800 is a wasteful number, since it uses less digits than its factorization.

628745932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12031 (or 11998 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 628745932800 in words is "six hundred twenty-eight billion, seven hundred forty-five million, nine hundred thirty-two thousand, eight hundred".