628722864 has 320 divisors, whose sum is σ = 2309852160. Its totient is φ = 158976000.

The previous prime is 628722851. The next prime is 628722893. The reversal of 628722864 is 468227826.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363594 + ... + 1364054.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2^628722864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628722864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154926080).

628722864 is an abundant number, since it is smaller than the sum of its proper divisors (1681129296).

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

628722864 is a wasteful number, since it uses less digits than its factorization.

628722864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 628722864 is about 25074.3467312710. The cubic root of 628722864 is about 856.6822159175.

The spelling of 628722864 in words is "six hundred twenty-eight million, seven hundred twenty-two thousand, eight hundred sixty-four".