8189123328 has 108 divisors (see below), whose sum is σ = 24485938568. Its totient is φ = 2729687040.

The previous prime is 8189123317. The next prime is 8189123353. The reversal of 8189123328 is 8233219818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3613 + ... + 128028.

Almost surely, 2^8189123328 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 8189123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12242969284).

8189123328 is an abundant number, since it is smaller than the sum of its proper divisors (16296815240).

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

8189123328 is an equidigital number, since it uses as much as digits as its factorization.

8189123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131672 (or 131646 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 8189123328 is about 90493.7750787312. The cubic root of 8189123328 is about 2015.6376899926.

The spelling of 8189123328 in words is "eight billion, one hundred eighty-nine million, one hundred twenty-three thousand, three hundred twenty-eight".