382582368 has 288 divisors, whose sum is σ = 1338494976. Its totient is φ = 101274624.

The previous prime is 382582367. The next prime is 382582381. The reversal of 382582368 is 863285283.

382582368 is a `hidden beast` number, since 3 + 8 + 2 + 582 + 3 + 68 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382582367) 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, 1715505 + ... + 1715727.

It is an arithmetic number, because the mean of its divisors is an integer number (4647552).

Almost surely, 2^382582368 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 382582368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669247488).

382582368 is an abundant number, since it is smaller than the sum of its proper divisors (955912608).

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

382582368 is a wasteful number, since it uses less digits than its factorization.

382582368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 382582368 is about 19559.7128813283. The cubic root of 382582368 is about 725.9526868513.

The spelling of 382582368 in words is "three hundred eighty-two million, five hundred eighty-two thousand, three hundred sixty-eight".