95928000 has 224 divisors, whose sum is σ = 362638848. Its totient is φ = 21888000.

The previous prime is 95927971. The next prime is 95928023. The reversal of 95928000 is 82959.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167715 + ... + 168285.

Almost surely, 2^95928000 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 95928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181319424).

95928000 is an abundant number, since it is smaller than the sum of its proper divisors (266710848).

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

95928000 is a wasteful number, since it uses less digits than its factorization.

95928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 95928000 is about 9794.2840473411. The cubic root of 95928000 is about 457.7711969673.

The spelling of 95928000 in words is "ninety-five million, nine hundred twenty-eight thousand".