382557528 has 192 divisors, whose sum is σ = 1164533760. Its totient is φ = 112831488.

The previous prime is 382557521. The next prime is 382557563. The reversal of 382557528 is 825755283.

382557528 is a `hidden beast` number, since 38 + 25 + 575 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382557521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3012201 + ... + 3012327.

It is an arithmetic number, because the mean of its divisors is an integer number (6065280).

Almost surely, 2^382557528 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 382557528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582266880).

382557528 is an abundant number, since it is smaller than the sum of its proper divisors (781976232).

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

382557528 is a wasteful number, since it uses less digits than its factorization.

382557528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

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

The square root of 382557528 is about 19559.0778923752. The cubic root of 382557528 is about 725.9369751541.

The spelling of 382557528 in words is "three hundred eighty-two million, five hundred fifty-seven thousand, five hundred twenty-eight".