628628013 has 32 divisors (see below), whose sum is σ = 1035310080. Its totient is φ = 374362560.

The previous prime is 628628003. The next prime is 628628047. The reversal of 628628013 is 310826826.

628628013 is a `hidden beast` number, since 6 + 28 + 628 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 628628013 - 2⁸ = 628627757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628628003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18006 + ... + 39767.

It is an arithmetic number, because the mean of its divisors is an integer number (32353440).

Almost surely, 2^628628013 is an apocalyptic number.

It is an amenable number.

628628013 is a deficient number, since it is larger than the sum of its proper divisors (406682067).

628628013 is a wasteful number, since it uses less digits than its factorization.

628628013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57826 (or 57820 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 628628013 is about 25072.4552646924. The cubic root of 628628013 is about 856.6391332091.

The spelling of 628628013 in words is "six hundred twenty-eight million, six hundred twenty-eight thousand, thirteen".