8199882288 has 160 divisors (see below), whose sum is σ = 26681625600. Its totient is φ = 2390217984.

The previous prime is 8199882287. The next prime is 8199882337. The reversal of 8199882288 is 8822889918.

It is a super-2 number, since 2×8199882288² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8199882287) 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, 68281 + ... + 145127.

It is an arithmetic number, because the mean of its divisors is an integer number (166760160).

Almost surely, 2^8199882288 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 8199882288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340812800).

8199882288 is an abundant number, since it is smaller than the sum of its proper divisors (18481743312).

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

8199882288 is a wasteful number, since it uses less digits than its factorization.

8199882288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76896 (or 76884 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 63.

The square root of 8199882288 is about 90553.2014232517. The cubic root of 8199882288 is about 2016.5200259955.

The spelling of 8199882288 in words is "eight billion, one hundred ninety-nine million, eight hundred eighty-two thousand, two hundred eighty-eight".