82444288 has 72 divisors (see below), whose sum is σ = 179305812. Its totient is φ = 37748736.

The previous prime is 82444279. The next prime is 82444289. The reversal of 82444288 is 88244428.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 11075584 = 8448^2 + 3328^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82444288.

It is not an unprimeable number, because it can be changed into a prime (82444289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2228206 + ... + 2228242.

Almost surely, 2^82444288 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 82444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89652906).

82444288 is an abundant number, since it is smaller than the sum of its proper divisors (96861524).

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

82444288 is an frugal number, since it uses more digits than its factorization.

82444288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 56 counting only the distinct ones).

The product of its digits is 131072, while the sum is 40.

The square root of 82444288 is about 9079.8836996957. The cubic root of 82444288 is about 435.2313702877.

The spelling of 82444288 in words is "eighty-two million, four hundred forty-four thousand, two hundred eighty-eight".