95828160 has 112 divisors (see below), whose sum is σ = 306543456. Its totient is φ = 25362432.

The previous prime is 95828147. The next prime is 95828171. The reversal of 95828160 is 6182859.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165792 + ... + 166368.

Almost surely, 2^95828160 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 95828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153271728).

95828160 is an abundant number, since it is smaller than the sum of its proper divisors (210715296).

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

95828160 is a wasteful number, since it uses less digits than its factorization.

95828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 95828160 is about 9789.1858701324. The cubic root of 95828160 is about 457.6123287141.

The spelling of 95828160 in words is "ninety-five million, eight hundred twenty-eight thousand, one hundred sixty".