382912992 has 288 divisors, whose sum is σ = 1403910144. Its totient is φ = 96076800.

The previous prime is 382912991. The next prime is 382913017. The reversal of 382912992 is 299219283.

It is a happy number.

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

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 (382912991) 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, 687178 + ... + 687734.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^382912992 is an apocalyptic number.

382912992 is a gapful number since it is divisible by the number (32) 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 382912992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072).

382912992 is an abundant number, since it is smaller than the sum of its proper divisors (1020997152).

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

382912992 is a wasteful number, since it uses less digits than its factorization.

382912992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 611 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 382912992 is about 19568.1627139596. The cubic root of 382912992 is about 726.1617470818.

The spelling of 382912992 in words is "three hundred eighty-two million, nine hundred twelve thousand, nine hundred ninety-two".