628294656 has 88 divisors (see below), whose sum is σ = 1826972064. Its totient is φ = 190382080.

The previous prime is 628294649. The next prime is 628294697. The reversal of 628294656 is 656492826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 24496 + ... + 43088.

Almost surely, 2^628294656 is an apocalyptic number.

628294656 is a gapful number since it is divisible by the number (66) 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 628294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913486032).

628294656 is an abundant number, since it is smaller than the sum of its proper divisors (1198677408).

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

628294656 is a wasteful number, since it uses less digits than its factorization.

628294656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18627 (or 18609 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 628294656 is about 25065.8065100647. The cubic root of 628294656 is about 856.4876832056.

The spelling of 628294656 in words is "six hundred twenty-eight million, two hundred ninety-four thousand, six hundred fifty-six".