382248332928 has 1536 divisors, whose sum is σ = 1557962035200. Its totient is φ = 89450127360.

The previous prime is 382248332899. The next prime is 382248332959. The reversal of 382248332928 is 829233842283.

382248332928 is a `hidden beast` number, since 3 + 82 + 248 + 33 + 292 + 8 = 666.

It is a super-2 number, since 2×382248332928² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2209527850 + ... + 2209528022.

It is an arithmetic number, because the mean of its divisors is an integer number (1014298200).

Almost surely, 2^382248332928 is an apocalyptic number.

382248332928 is a gapful number since it is divisible by the number (38) 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 382248332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778981017600).

382248332928 is an abundant number, since it is smaller than the sum of its proper divisors (1175713702272).

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

382248332928 is a wasteful number, since it uses less digits than its factorization.

382248332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 238 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 382248332928 in words is "three hundred eighty-two billion, two hundred forty-eight million, three hundred thirty-two thousand, nine hundred twenty-eight".