628625952 has 72 divisors (see below), whose sum is σ = 1790232444. Its totient is φ = 209240064.

The previous prime is 628625939. The next prime is 628625993. The reversal of 628625952 is 259526826.

It can be written as a sum of positive squares in 2 ways, for example, as 624800016 + 3825936 = 24996^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 628625898 and 628625907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296448 + ... + 298560.

Almost surely, 2^628625952 is an apocalyptic number.

It is an amenable number.

628625952 is an abundant number, since it is smaller than the sum of its proper divisors (1161606492).

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

628625952 is a wasteful number, since it uses less digits than its factorization.

628625952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3151 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 628625952 is about 25072.4141637777. The cubic root of 628625952 is about 856.6381970247.

The spelling of 628625952 in words is "six hundred twenty-eight million, six hundred twenty-five thousand, nine hundred fifty-two".