628413264 has 30 divisors (see below), whose sum is σ = 1758684746. Its totient is φ = 209471040.

The previous prime is 628413263. The next prime is 628413287. The reversal of 628413264 is 462314826.

628413264 is a `hidden beast` number, since 628 + 4 + 1 + 3 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 432972864 + 195440400 = 20808^2 + 13980^2 .

It is a super-2 number, since 2×628413264² = 789806460742267392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (628413263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2181847 + ... + 2182134.

Almost surely, 2^628413264 is an apocalyptic number.

It is an amenable number.

628413264 is an abundant number, since it is smaller than the sum of its proper divisors (1130271482).

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

628413264 is a wasteful number, since it uses less digits than its factorization.

628413264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363995 (or 4363986 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 628413264 is about 25068.1723306666. The cubic root of 628413264 is about 856.5415750637.

The spelling of 628413264 in words is "six hundred twenty-eight million, four hundred thirteen thousand, two hundred sixty-four".