628613359920 has 2160 divisors, whose sum is σ = 2905592601600. Its totient is φ = 120917422080.

The previous prime is 628613359903. The next prime is 628613359963. The reversal of 628613359920 is 29953316826.

628613359920 is a `hidden beast` number, since 6 + 28 + 6 + 1 + 3 + 3 + 599 + 20 = 666.

It is a super-2 number, since 2×628613359920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3511806391 + ... + 3511806569.

It is an arithmetic number, because the mean of its divisors is an integer number (1345181760).

Almost surely, 2^628613359920 is an apocalyptic number.

628613359920 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 628613359920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452796300800).

628613359920 is an abundant number, since it is smaller than the sum of its proper divisors (2276979241680).

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

628613359920 is a wasteful number, since it uses less digits than its factorization.

628613359920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 628613359920 in words is "six hundred twenty-eight billion, six hundred thirteen million, three hundred fifty-nine thousand, nine hundred twenty".