628997760 has 96 divisors (see below), whose sum is σ = 2172027780. Its totient is φ = 167731200.

The previous prime is 628997753. The next prime is 628997771. The reversal of 628997760 is 67799826.

628997760 is a `hidden beast` number, since 628 + 9 + 9 + 7 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 619412544 + 9585216 = 24888^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 628997697 and 628997706.

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, 48841 + ... + 60360.

Almost surely, 2^628997760 is an apocalyptic number.

628997760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628997760 is an abundant number, since it is smaller than the sum of its proper divisors (1543030020).

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

628997760 is a wasteful number, since it uses less digits than its factorization.

628997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109226 (or 109211 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 628997760 is about 25079.8277506047. The cubic root of 628997760 is about 856.8070532208.

The spelling of 628997760 in words is "six hundred twenty-eight million, nine hundred ninety-seven thousand, seven hundred sixty".