382888463328 has 1152 divisors, whose sum is σ = 1414665907200. Its totient is φ = 97758904320.

The previous prime is 382888463323. The next prime is 382888463333. The reversal of 382888463328 is 823364888283.

It is an interprime number because it is at equal distance from previous prime (382888463323) and next prime (382888463333).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (382888463323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4613113975 + ... + 4613114057.

It is an arithmetic number, because the mean of its divisors is an integer number (1228008600).

Almost surely, 2^382888463328 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 382888463328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707332953600).

382888463328 is an abundant number, since it is smaller than the sum of its proper divisors (1031777443872).

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

382888463328 is a wasteful number, since it uses less digits than its factorization.

382888463328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 382888463328 in words is "three hundred eighty-two billion, eight hundred eighty-eight million, four hundred sixty-three thousand, three hundred twenty-eight".