382863888 has 320 divisors, whose sum is σ = 1302773760. Its totient is φ = 106444800.

The previous prime is 382863883. The next prime is 382863913. The reversal of 382863888 is 888368283.

382863888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (382863881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3388120 + ... + 3388232.

It is an arithmetic number, because the mean of its divisors is an integer number (4071168).

Almost surely, 2^382863888 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 382863888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651386880).

382863888 is an abundant number, since it is smaller than the sum of its proper divisors (919909872).

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

382863888 is a wasteful number, since it uses less digits than its factorization.

382863888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 382863888 is about 19566.9079826119. The cubic root of 382863888 is about 726.1307052425.

The spelling of 382863888 in words is "three hundred eighty-two million, eight hundred sixty-three thousand, eight hundred eighty-eight".