382857552 has 360 divisors, whose sum is σ = 1396146752. Its totient is φ = 95800320.

The previous prime is 382857529. The next prime is 382857571. The reversal of 382857552 is 255758283.

382857552 is a `hidden beast` number, since 3 + 8 + 28 + 575 + 52 = 666.

382857552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 382857498 and 382857507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5244588 + ... + 5244660.

Almost surely, 2^382857552 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 382857552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698073376).

382857552 is an abundant number, since it is smaller than the sum of its proper divisors (1013289200).

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

382857552 is a wasteful number, since it uses less digits than its factorization.

382857552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 382857552 is about 19566.7460759320. The cubic root of 382857552 is about 726.1266996505.

The spelling of 382857552 in words is "three hundred eighty-two million, eight hundred fifty-seven thousand, five hundred fifty-two".