882273288 has 96 divisors (see below), whose sum is σ = 2453371200. Its totient is φ = 264086784.

The previous prime is 882273263. The next prime is 882273289. The reversal of 882273288 is 882372288.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (882273289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147133 + ... + 153011.

It is an arithmetic number, because the mean of its divisors is an integer number (25555950).

Almost surely, 2^882273288 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 882273288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226685600).

882273288 is an abundant number, since it is smaller than the sum of its proper divisors (1571097912).

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

882273288 is a wasteful number, since it uses less digits than its factorization.

882273288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5934 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 882273288 is about 29703.0854962915. The cubic root of 882273288 is about 959.1084343995.

It can be divided in two parts, 882 and 273288, that added together give a triangular number (274170 = T₇₄₀).

The spelling of 882273288 in words is "eight hundred eighty-two million, two hundred seventy-three thousand, two hundred eighty-eight".