93288 has 48 divisors (see below), whose sum is σ = 263520. Its totient is φ = 27456.

The previous prime is 93287. The next prime is 93307. The reversal of 93288 is 88239.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4045 + ... + 4067.

It is an arithmetic number, because the mean of its divisors is an integer number (5490).

2⁹³²⁸⁸ 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 93288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131760).

93288 is an abundant number, since it is smaller than the sum of its proper divisors (170232).

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

93288 is a wasteful number, since it uses less digits than its factorization.

93288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 41 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 93288 is about 305.4308432362. The cubic root of 93288 is about 45.3532688176.

It can be divided in two parts, 9 and 3288, that multiplied together give a palindrome (29592).

The spelling of 93288 in words is "ninety-three thousand, two hundred eighty-eight".