6528832128 has 768 divisors, whose sum is σ = 24950016000. Its totient is φ = 1625702400.

The previous prime is 6528832127. The next prime is 6528832139. The reversal of 6528832128 is 8212388256.

6528832128 is a `hidden beast` number, since 6 + 528 + 83 + 21 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (6528832127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159239788 + ... + 159239828.

It is an arithmetic number, because the mean of its divisors is an integer number (32487000).

Almost surely, 2^6528832128 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 6528832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475008000).

6528832128 is an abundant number, since it is smaller than the sum of its proper divisors (18421183872).

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

6528832128 is a wasteful number, since it uses less digits than its factorization.

6528832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 6528832128 is about 80801.1889021443. The cubic root of 6528832128 is about 1869.0108992337.

The spelling of 6528832128 in words is "six billion, five hundred twenty-eight million, eight hundred thirty-two thousand, one hundred twenty-eight".