8052832128 has 128 divisors (see below), whose sum is σ = 24349766400. Its totient is φ = 2334126080.

The previous prime is 8052832127. The next prime is 8052832147. The reversal of 8052832128 is 8212382508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8052832121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55708 + ... + 138596.

It is an arithmetic number, because the mean of its divisors is an integer number (190232550).

Almost surely, 2^8052832128 is an apocalyptic number.

8052832128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8052832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12174883200).

8052832128 is an abundant number, since it is smaller than the sum of its proper divisors (16296934272).

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

8052832128 is a wasteful number, since it uses less digits than its factorization.

8052832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82940 (or 82928 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 8052832128 is about 89737.5736690044. The cubic root of 8052832128 is about 2004.3930209519.

The spelling of 8052832128 in words is "eight billion, fifty-two million, eight hundred thirty-two thousand, one hundred twenty-eight".