625379328 has 288 divisors, whose sum is σ = 2136214080. Its totient is φ = 172523520.

The previous prime is 625379317. The next prime is 625379413. The reversal of 625379328 is 823973526.

625379328 is a `hidden beast` number, since 6 + 2 + 537 + 93 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (544320) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4773823 + ... + 4773953.

It is an arithmetic number, because the mean of its divisors is an integer number (7417410).

Almost surely, 2^625379328 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 625379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068107040).

625379328 is an abundant number, since it is smaller than the sum of its proper divisors (1510834752).

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

625379328 is a wasteful number, since it uses less digits than its factorization.

625379328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 625379328 is about 25007.5854092313. The cubic root of 625379328 is about 855.1609094916.

The spelling of 625379328 in words is "six hundred twenty-five million, three hundred seventy-nine thousand, three hundred twenty-eight".