8229391128 has 128 divisors (see below), whose sum is σ = 26292211200. Its totient is φ = 2336211072.

The previous prime is 8229391081. The next prime is 8229391139. The reversal of 8229391128 is 8211939228.

It is a happy number.

It is a super-2 number, since 2×8229391128² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220051 + ... + 254717.

It is an arithmetic number, because the mean of its divisors is an integer number (205407900).

Almost surely, 2^8229391128 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 8229391128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146105600).

8229391128 is an abundant number, since it is smaller than the sum of its proper divisors (18062820072).

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

8229391128 is a wasteful number, since it uses less digits than its factorization.

8229391128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34846 (or 34836 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 8229391128 is about 90715.9915781115. The cubic root of 8229391128 is about 2018.9360740497.

The spelling of 8229391128 in words is "eight billion, two hundred twenty-nine million, three hundred ninety-one thousand, one hundred twenty-eight".