9795128616 has 288 divisors, whose sum is σ = 34050580200. Its totient is φ = 2519838720.

The previous prime is 9795128599. The next prime is 9795128617. The reversal of 9795128616 is 6168215979.

9795128616 is a `hidden beast` number, since 9 + 7 + 9 + 5 + 12 + 8 + 616 = 666.

9795128616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7148026116 + 2647102500 = 84546^2 + 51450^2 .

It is not an unprimeable number, because it can be changed into a prime (9795128617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1877820 + ... + 1883028.

Almost surely, 2^9795128616 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 9795128616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17025290100).

9795128616 is an abundant number, since it is smaller than the sum of its proper divisors (24255451584).

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

9795128616 is a wasteful number, since it uses less digits than its factorization.

9795128616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5275 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 9795128616 is about 98970.3421030765. The cubic root of 9795128616 is about 2139.6203227779.

The spelling of 9795128616 in words is "nine billion, seven hundred ninety-five million, one hundred twenty-eight thousand, six hundred sixteen".