628596640 has 96 divisors (see below), whose sum is σ = 1714003200. Its totient is φ = 213387264.

The previous prime is 628596593. The next prime is 628596653. The reversal of 628596640 is 46695826.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112636 + ... + 118084.

It is an arithmetic number, because the mean of its divisors is an integer number (17854200).

Almost surely, 2^628596640 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 628596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857001600).

628596640 is an abundant number, since it is smaller than the sum of its proper divisors (1085406560).

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

628596640 is a wasteful number, since it uses less digits than its factorization.

628596640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5566 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 628596640 is about 25071.8296101421. The cubic root of 628596640 is about 856.6248821809.

The spelling of 628596640 in words is "six hundred twenty-eight million, five hundred ninety-six thousand, six hundred forty".