628751185920 has 2688 divisors, whose sum is σ = 2887450675200. Its totient is φ = 128994508800.

The previous prime is 628751185903. The next prime is 628751185921. The reversal of 628751185920 is 29581157826.

628751185920 is a `hidden beast` number, since 6 + 28 + 7 + 511 + 85 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628751185921) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 20282296305 + ... + 20282296335.

It is an arithmetic number, because the mean of its divisors is an integer number (1074200400).

Almost surely, 2^628751185920 is an apocalyptic number.

628751185920 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 628751185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443725337600).

628751185920 is an abundant number, since it is smaller than the sum of its proper divisors (2258699489280).

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

628751185920 is a wasteful number, since it uses less digits than its factorization.

628751185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 628751185920 in words is "six hundred twenty-eight billion, seven hundred fifty-one million, one hundred eighty-five thousand, nine hundred twenty".