628392960 has 264 divisors, whose sum is σ = 2347090200. Its totient is φ = 154533888.

The previous prime is 628392953. The next prime is 628393021. The reversal of 628392960 is 69293826.

It can be written as a sum of positive squares in 4 ways, for example, as 79709184 + 548683776 = 8928^2 + 23424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598516 + ... + 599564.

Almost surely, 2^628392960 is an apocalyptic number.

628392960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173545100).

628392960 is an abundant number, since it is smaller than the sum of its proper divisors (1718697240).

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

628392960 is a wasteful number, since it uses less digits than its factorization.

628392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 628392960 is about 25067.7673517208. The cubic root of 628392960 is about 856.5323500264.

The spelling of 628392960 in words is "six hundred twenty-eight million, three hundred ninety-two thousand, nine hundred sixty".