382328144 has 40 divisors (see below), whose sum is σ = 812278368. Its totient is φ = 172887680.

The previous prime is 382328143. The next prime is 382328183. The reversal of 382328144 is 441823283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382328143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29159 + ... + 40185.

Almost surely, 2^382328144 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 382328144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406139184).

382328144 is an abundant number, since it is smaller than the sum of its proper divisors (429950224).

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

382328144 is a wasteful number, since it uses less digits than its factorization.

382328144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11243 (or 11237 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 382328144 is about 19553.2131374871. The cubic root of 382328144 is about 725.7918539563.

The spelling of 382328144 in words is "three hundred eighty-two million, three hundred twenty-eight thousand, one hundred forty-four".