628790656 has 64 divisors (see below), whose sum is σ = 1353658320. Its totient is φ = 289216512.

The previous prime is 628790651. The next prime is 628790711. The reversal of 628790656 is 656097826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628790651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736726 + ... + 737578.

Almost surely, 2^628790656 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 628790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676829160).

628790656 is an abundant number, since it is smaller than the sum of its proper divisors (724867664).

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

628790656 is a wasteful number, since it uses less digits than its factorization.

628790656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 628790656 is about 25075.6985146975. The cubic root of 628790656 is about 856.7130053781.

The spelling of 628790656 in words is "six hundred twenty-eight million, seven hundred ninety thousand, six hundred fifty-six".