628641264 has 40 divisors (see below), whose sum is σ = 1639180800. Its totient is φ = 207587008.

The previous prime is 628641257. The next prime is 628641269. The reversal of 628641264 is 462146826.

628641264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628641269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56064 + ... + 66335.

It is an arithmetic number, because the mean of its divisors is an integer number (40979520).

Almost surely, 2^628641264 is an apocalyptic number.

It is an amenable number.

628641264 is an abundant number, since it is smaller than the sum of its proper divisors (1010539536).

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

628641264 is a wasteful number, since it uses less digits than its factorization.

628641264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122517 (or 122511 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 628641264 is about 25072.7195174357. The cubic root of 628641264 is about 856.6451522671.

The spelling of 628641264 in words is "six hundred twenty-eight million, six hundred forty-one thousand, two hundred sixty-four".