96288 has 48 divisors (see below), whose sum is σ = 272160. Its totient is φ = 29696.

The previous prime is 96281. The next prime is 96289. The reversal of 96288 is 88269.

It is a tau number, because it is divible by the number of its divisors (48).

96288 is a modest number, since divided by 288 gives 96 as remainder.

It is not an unprimeable number, because it can be changed into a prime (96281) by changing a digit.

96288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1603 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁹⁶²⁸⁸ 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 96288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

96288 is an abundant number, since it is smaller than the sum of its proper divisors (175872).

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

96288 is a wasteful number, since it uses less digits than its factorization.

96288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 96288 is about 310.3030776515. The cubic root of 96288 is about 45.8343125594.

The spelling of 96288 in words is "ninety-six thousand, two hundred eighty-eight".