89100288 has 78 divisors (see below), whose sum is σ = 257475894. Its totient is φ = 29687808.

The previous prime is 89100287. The next prime is 89100289. The reversal of 89100288 is 88200198.

It is an interprime number because it is at equal distance from previous prime (89100287) and next prime (89100289).

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 589824 = 9408^2 + 768^2 .

It is a super-2 number, since 2×89100288² = 15877722643365888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (89100287) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35656 + ... + 38072.

It is an arithmetic number, because the mean of its divisors is an integer number (3300973).

Almost surely, 2^89100288 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 89100288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128737947).

89100288 is an abundant number, since it is smaller than the sum of its proper divisors (168375606).

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

89100288 is a wasteful number, since it uses less digits than its factorization.

89100288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 89100288 is about 9439.2948889205. The cubic root of 89100288 is about 446.6421471157.

The spelling of 89100288 in words is "eighty-nine million, one hundred thousand, two hundred eighty-eight".