382269888 has 672 divisors, whose sum is σ = 1606417920. Its totient is φ = 86261760.

The previous prime is 382269887. The next prime is 382269947. The reversal of 382269888 is 888962283.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×382269888² = 292260534543065088, which 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382269887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22486456 + ... + 22486472.

Almost surely, 2^382269888 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 382269888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803208960).

382269888 is an abundant number, since it is smaller than the sum of its proper divisors (1224148032).

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

382269888 is a wasteful number, since it uses less digits than its factorization.

382269888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 382269888 is about 19551.7234022988. The cubic root of 382269888 is about 725.7549886975.

The spelling of 382269888 in words is "three hundred eighty-two million, two hundred sixty-nine thousand, eight hundred eighty-eight".