382529088 has 224 divisors, whose sum is σ = 1198392320. Its totient is φ = 119439360.

The previous prime is 382529083. The next prime is 382529089. The reversal of 382529088 is 880925283.

It is a super-2 number, since 2×382529088² = 292657006332223488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (382529083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981920 + ... + 1982112.

Almost surely, 2^382529088 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 382529088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599196160).

382529088 is an abundant number, since it is smaller than the sum of its proper divisors (815863232).

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

382529088 is a wasteful number, since it uses less digits than its factorization.

382529088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 382529088 is about 19558.3508507236. The cubic root of 382529088 is about 725.9189855641.

The spelling of 382529088 in words is "three hundred eighty-two million, five hundred twenty-nine thousand, eighty-eight".