628632256 has 112 divisors (see below), whose sum is σ = 1536192000. Its totient is φ = 249090048.

The previous prime is 628632253. The next prime is 628632269. The reversal of 628632256 is 652236826.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (628632253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448645 + ... + 450043.

It is an arithmetic number, because the mean of its divisors is an integer number (13716000).

Almost surely, 2^628632256 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 628632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

628632256 is an abundant number, since it is smaller than the sum of its proper divisors (907559744).

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

628632256 is a wasteful number, since it uses less digits than its factorization.

628632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1484 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 628632256 is about 25072.5398793182. The cubic root of 628632256 is about 856.6410605342.

The spelling of 628632256 in words is "six hundred twenty-eight million, six hundred thirty-two thousand, two hundred fifty-six".