382788000 has 576 divisors, whose sum is σ = 1635379200. Its totient is φ = 84672000.

The previous prime is 382787987. The next prime is 382788017. The reversal of 382788000 is 887283.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12347985 + ... + 12348015.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2^382788000 is an apocalyptic number.

382788000 is a gapful number since it is divisible by the number (30) 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 382788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817689600).

382788000 is an abundant number, since it is smaller than the sum of its proper divisors (1252591200).

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

382788000 is a wasteful number, since it uses less digits than its factorization.

382788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 382788000 is about 19564.9686940716. The cubic root of 382788000 is about 726.0827262697.

The spelling of 382788000 in words is "three hundred eighty-two million, seven hundred eighty-eight thousand".