95938128 has 160 divisors (see below), whose sum is σ = 323729280. Its totient is φ = 26818560.

The previous prime is 95938121. The next prime is 95938187. The reversal of 95938128 is 82183959.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95938121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61000 + ... + 62552.

It is an arithmetic number, because the mean of its divisors is an integer number (2023308).

Almost surely, 2^95938128 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 95938128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161864640).

95938128 is an abundant number, since it is smaller than the sum of its proper divisors (227791152).

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

95938128 is a wasteful number, since it uses less digits than its factorization.

95938128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1582 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 95938128 is about 9794.8010699554. The cubic root of 95938128 is about 457.7873067702.

The spelling of 95938128 in words is "ninety-five million, nine hundred thirty-eight thousand, one hundred twenty-eight".