628794576 has 280 divisors, whose sum is σ = 1977682944. Its totient is φ = 193155840.

The previous prime is 628794571. The next prime is 628794611. The reversal of 628794576 is 675497826.

628794576 is a `hidden beast` number, since 62 + 8 + 7 + 9 + 4 + 576 = 666.

It is a super-3 number, since 3×628794576³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5080320) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628794571) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13378585 + ... + 13378631.

Almost surely, 2^628794576 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 628794576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988841472).

628794576 is an abundant number, since it is smaller than the sum of its proper divisors (1348888368).

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

628794576 is a wasteful number, since it uses less digits than its factorization.

628794576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 628794576 is about 25075.7766779017. The cubic root of 628794576 is about 856.7147856781.

The spelling of 628794576 in words is "six hundred twenty-eight million, seven hundred ninety-four thousand, five hundred seventy-six".