95776128 has 256 divisors, whose sum is σ = 334886400. Its totient is φ = 26376192.

The previous prime is 95776103. The next prime is 95776139. The reversal of 95776128 is 82167759.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895051 + ... + 895157.

It is an arithmetic number, because the mean of its divisors is an integer number (1308150).

Almost surely, 2^95776128 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 95776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

95776128 is an abundant number, since it is smaller than the sum of its proper divisors (239110272).

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

95776128 is a wasteful number, since it uses less digits than its factorization.

95776128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 95776128 is about 9786.5278827580. The cubic root of 95776128 is about 457.5294901711.

The spelling of 95776128 in words is "ninety-five million, seven hundred seventy-six thousand, one hundred twenty-eight".