382562568 has 192 divisors, whose sum is σ = 1167768000. Its totient is φ = 115706880.

The previous prime is 382562561. The next prime is 382562569. The reversal of 382562568 is 865265283.

382562568 is a `hidden beast` number, since 3 + 8 + 25 + 62 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (382562561) 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 47 ways as a sum of consecutive naturals, for example, 3943896 + ... + 3943992.

It is an arithmetic number, because the mean of its divisors is an integer number (6082125).

Almost surely, 2^382562568 is an apocalyptic number.

382562568 is a gapful number since it is divisible by the number (38) 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 382562568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583884000).

382562568 is an abundant number, since it is smaller than the sum of its proper divisors (785205432).

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

382562568 is a wasteful number, since it uses less digits than its factorization.

382562568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 152 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 382562568 is about 19559.2067323805. The cubic root of 382562568 is about 725.9401630897.

The spelling of 382562568 in words is "three hundred eighty-two million, five hundred sixty-two thousand, five hundred sixty-eight".