628932528 has 120 divisors (see below), whose sum is σ = 2117523200. Its totient is φ = 170232192.

The previous prime is 628932511. The next prime is 628932559. The reversal of 628932528 is 825239826.

It is a happy number.

It is a super-2 number, since 2×628932528² = 791112249552941568, which contains 22 as substring.

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, 2733 + ... + 35571.

Almost surely, 2^628932528 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 628932528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058761600).

628932528 is an abundant number, since it is smaller than the sum of its proper divisors (1488590672).

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

628932528 is a wasteful number, since it uses less digits than its factorization.

628932528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32879 (or 32870 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 628932528 is about 25078.5272294846. The cubic root of 628932528 is about 856.7774329934. Note that the first 3 decimals are identical.

It can be divided in two parts, 628 and 932528, that added together give a square (933156 = 966²).

The spelling of 628932528 in words is "six hundred twenty-eight million, nine hundred thirty-two thousand, five hundred twenty-eight".