628431680 has 56 divisors (see below), whose sum is σ = 1536926568. Its totient is φ = 244574208.

The previous prime is 628431679. The next prime is 628431709. The reversal of 628431680 is 86134826.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31899904 + 596531776 = 5648^2 + 24424^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14699 + ... + 38378.

Almost surely, 2^628431680 is an apocalyptic number.

It is an amenable number.

628431680 is an abundant number, since it is smaller than the sum of its proper divisors (908494888).

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

628431680 is a wasteful number, since it uses less digits than its factorization.

628431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53131 (or 53121 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 628431680 is about 25068.5396463376. The cubic root of 628431680 is about 856.5499421243.

The spelling of 628431680 in words is "six hundred twenty-eight million, four hundred thirty-one thousand, six hundred eighty".