628561312 has 36 divisors (see below), whose sum is σ = 1281709170. Its totient is φ = 303074688.

The previous prime is 628561309. The next prime is 628561357. The reversal of 628561312 is 213165826.

It can be written as a sum of positive squares in only one way, i.e., 531025936 + 97535376 = 23044^2 + 9876^2 .

It is a super-2 number, since 2×628561312² = 790178645886322688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 763333 + ... + 764155.

Almost surely, 2^628561312 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 628561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640854585).

628561312 is an abundant number, since it is smaller than the sum of its proper divisors (653147858).

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

628561312 is an frugal number, since it uses more digits than its factorization.

628561312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 854 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 628561312 is about 25071.1250645040. The cubic root of 628561312 is about 856.6088340461.

The spelling of 628561312 in words is "six hundred twenty-eight million, five hundred sixty-one thousand, three hundred twelve".