382632768 has 168 divisors, whose sum is σ = 1308811200. Its totient is φ = 109299456.

The previous prime is 382632763. The next prime is 382632793. The reversal of 382632768 is 867236283.

382632768 is a `hidden beast` number, since 3 + 8 + 2 + 632 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382632763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82413 + ... + 86931.

Almost surely, 2^382632768 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 382632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654405600).

382632768 is an abundant number, since it is smaller than the sum of its proper divisors (926178432).

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

382632768 is a wasteful number, since it uses less digits than its factorization.

382632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4531 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 382632768 is about 19561.0012013700. The cubic root of 382632768 is about 725.9845635677.

The spelling of 382632768 in words is "three hundred eighty-two million, six hundred thirty-two thousand, seven hundred sixty-eight".