382032288 has 120 divisors (see below), whose sum is σ = 1225778400. Its totient is φ = 115758720.

The previous prime is 382032281. The next prime is 382032293. The reversal of 382032288 is 882230283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (382032281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21813 + ... + 35211.

It is an arithmetic number, because the mean of its divisors is an integer number (10214820).

Almost surely, 2^382032288 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 382032288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612889200).

382032288 is an abundant number, since it is smaller than the sum of its proper divisors (843746112).

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

382032288 is a wasteful number, since it uses less digits than its factorization.

382032288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13432 (or 13415 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 382032288 is about 19545.6462671358. The cubic root of 382032288 is about 725.6045931004.

The spelling of 382032288 in words is "three hundred eighty-two million, thirty-two thousand, two hundred eighty-eight".