99288 has 48 divisors (see below), whose sum is σ = 308880. Its totient is φ = 28224.

The previous prime is 99277. The next prime is 99289. The reversal of 99288 is 88299.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10368) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99289) 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, 406 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (6435).

2⁹⁹²⁸⁸ 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 99288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154440).

99288 is an abundant number, since it is smaller than the sum of its proper divisors (209592).

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

99288 is a wasteful number, since it uses less digits than its factorization.

99288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 99288 is about 315.0999841320. The cubic root of 99288 is about 46.3054654747.

The spelling of 99288 in words is "ninety-nine thousand, two hundred eighty-eight".