382705288 has 48 divisors (see below), whose sum is σ = 837493020. Its totient is φ = 163473408.

The previous prime is 382705283. The next prime is 382705291. The reversal of 382705288 is 882507283.

It can be written as a sum of positive squares in 2 ways, for example, as 339959844 + 42745444 = 18438^2 + 6538^2 .

It is not an unprimeable number, because it can be changed into a prime (382705283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130656 + ... + 133552.

Almost surely, 2^382705288 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 382705288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418746510).

382705288 is an abundant number, since it is smaller than the sum of its proper divisors (454787732).

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

382705288 is a wasteful number, since it uses less digits than its factorization.

382705288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 382705288 is about 19562.8548018943. The cubic root of 382705288 is about 726.0304257095.

The spelling of 382705288 in words is "three hundred eighty-two million, seven hundred five thousand, two hundred eighty-eight".