882464288 has 48 divisors (see below), whose sum is σ = 1844904600. Its totient is φ = 414068736.

The previous prime is 882464273. The next prime is 882464293.

882464288 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 648619024 + 233845264 = 25468^2 + 15292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200738 + ... + 205086.

Almost surely, 2^882464288 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 882464288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922452300).

882464288 is an abundant number, since it is smaller than the sum of its proper divisors (962440312).

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

882464288 is a wasteful number, since it uses less digits than its factorization.

882464288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749 (or 4741 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 50.

The square root of 882464288 is about 29706.3004764982. The cubic root of 882464288 is about 959.1776406555.

The spelling of 882464288 in words is "eight hundred eighty-two million, four hundred sixty-four thousand, two hundred eighty-eight".