628689600 has 882 divisors, whose sum is σ = 2943348444. Its totient is φ = 130636800.

The previous prime is 628689599. The next prime is 628689617. The reversal of 628689600 is 6986826.

It is a tau number, because it is divible by the number of its divisors (882).

It is a super-2 number, since 2×628689600² = 790501226296320000, which contains 22 as substring.

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 125 ways as a sum of consecutive naturals, for example, 57153595 + ... + 57153605.

Almost surely, 2^628689600 is an apocalyptic number.

628689600 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 628689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471674222).

628689600 is an abundant number, since it is smaller than the sum of its proper divisors (2314658844).

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

628689600 is a wasteful number, since it uses less digits than its factorization.

628689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 628689600 is about 25073.6834150868. The cubic root of 628689600 is about 856.6671074167.

The spelling of 628689600 in words is "six hundred twenty-eight million, six hundred eighty-nine thousand, six hundred".