95728360 has 216 divisors, whose sum is σ = 288208530. Its totient is φ = 28514304.

The previous prime is 95728357. The next prime is 95728387. The reversal of 95728360 is 6382759.

It can be written as a sum of positive squares in 9 ways, for example, as 4831204 + 90897156 = 2198^2 + 9534^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5631072 + ... + 5631088.

Almost surely, 2^95728360 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 95728360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144104265).

95728360 is an abundant number, since it is smaller than the sum of its proper divisors (192480170).

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

95728360 is a wasteful number, since it uses less digits than its factorization.

95728360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 95728360 is about 9784.0870805610. The cubic root of 95728360 is about 457.4534137918.

Multiplying 95728360 by its sum of digits (40), we get a square (3829134400 = 61880²).

95728360 divided by its sum of digits (40) gives a square (2393209 = 1547²).

The spelling of 95728360 in words is "ninety-five million, seven hundred twenty-eight thousand, three hundred sixty".