95728512 has 128 divisors (see below), whose sum is σ = 281128320. Its totient is φ = 28620800.

The previous prime is 95728499. The next prime is 95728531. The reversal of 95728512 is 21582759.

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

It is a super-3 number, since 3×95728512³ (a number of 25 digits) contains 333 as substring.

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, 553258 + ... + 553430.

It is an arithmetic number, because the mean of its divisors is an integer number (2196315).

Almost surely, 2^95728512 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 95728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140564160).

95728512 is an abundant number, since it is smaller than the sum of its proper divisors (185399808).

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

95728512 is a wasteful number, since it uses less digits than its factorization.

95728512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 95728512 is about 9784.0948482729. The cubic root of 95728512 is about 457.4536559105.

Subtracting from 95728512 its reverse (21582759), we obtain a triangular number (74145753 = T₁₂₁₇₇).

The spelling of 95728512 in words is "ninety-five million, seven hundred twenty-eight thousand, five hundred twelve".