382897152 has 176 divisors, whose sum is σ = 1238025600. Its totient is φ = 115937280.

The previous prime is 382897147. The next prime is 382897189. The reversal of 382897152 is 251798283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×382897152² = 293220458019422208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 382897098 and 382897107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303499 + ... + 304757.

Almost surely, 2^382897152 is an apocalyptic number.

382897152 is a gapful number since it is divisible by the number (32) 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 382897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619012800).

382897152 is an abundant number, since it is smaller than the sum of its proper divisors (855128448).

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

382897152 is a wasteful number, since it uses less digits than its factorization.

382897152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1275 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 382897152 is about 19567.7579707027. The cubic root of 382897152 is about 726.1517338752.

The spelling of 382897152 in words is "three hundred eighty-two million, eight hundred ninety-seven thousand, one hundred fifty-two".