628885760 has 72 divisors (see below), whose sum is σ = 1595043576. Its totient is φ = 236748800.

The previous prime is 628885727. The next prime is 628885801. The reversal of 628885760 is 67588826.

It can be written as a sum of positive squares in 4 ways, for example, as 358875136 + 270010624 = 18944^2 + 16432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 628885699 and 628885708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7310 + ... + 36210.

It is an arithmetic number, because the mean of its divisors is an integer number (22153383).

Almost surely, 2^628885760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797521788).

628885760 is an abundant number, since it is smaller than the sum of its proper divisors (966157816).

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

628885760 is a wasteful number, since it uses less digits than its factorization.

628885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28939 (or 28925 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The square root of 628885760 is about 25077.5947809992. The cubic root of 628885760 is about 856.7561955483.

The spelling of 628885760 in words is "six hundred twenty-eight million, eight hundred eighty-five thousand, seven hundred sixty".