95328 has 36 divisors (see below), whose sum is σ = 271908. Its totient is φ = 31680.

The previous prime is 95327. The next prime is 95339. The reversal of 95328 is 82359.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95328.

It is not an unprimeable number, because it can be changed into a prime (95327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (7553).

2⁹⁵³²⁸ 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 95328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135954).

95328 is an abundant number, since it is smaller than the sum of its proper divisors (176580).

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

95328 is a wasteful number, since it uses less digits than its factorization.

95328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 95328 is about 308.7523279264. The cubic root of 95328 is about 45.6814794388.

The spelling of 95328 in words is "ninety-five thousand, three hundred twenty-eight".