95928960 has 128 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 24068096.

The previous prime is 95928949. The next prime is 95928961. The reversal of 95928960 is 6982959.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (95928961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31171 + ... + 34109.

Almost surely, 2^95928960 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 95928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

95928960 is an abundant number, since it is smaller than the sum of its proper divisors (227941440).

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

95928960 is a wasteful number, since it uses less digits than its factorization.

95928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 95928960 is about 9794.3330553948. Note that the first 3 decimals coincide. The cubic root of 95928960 is about 457.7727240115.

The spelling of 95928960 in words is "ninety-five million, nine hundred twenty-eight thousand, nine hundred sixty".