623564928 has 192 divisors, whose sum is σ = 2090836800. Its totient is φ = 174680064.

The previous prime is 623564897. The next prime is 623564951. The reversal of 623564928 is 829465326.

623564928 is a `hidden beast` number, since 62 + 3 + 564 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426663 + ... + 428121.

It is an arithmetic number, because the mean of its divisors is an integer number (10889775).

Almost surely, 2^623564928 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 623564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045418400).

623564928 is an abundant number, since it is smaller than the sum of its proper divisors (1467271872).

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

623564928 is a wasteful number, since it uses less digits than its factorization.

623564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1524 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 623564928 is about 24971.2820656049. The cubic root of 623564928 is about 854.3330882246. Note that the first 3 decimals are identical.

The spelling of 623564928 in words is "six hundred twenty-three million, five hundred sixty-four thousand, nine hundred twenty-eight".