9900288 has 54 divisors (see below), whose sum is σ = 28551614. Its totient is φ = 3299328.

The previous prime is 9900287. The next prime is 9900301. The reversal of 9900288 is 8820099.

It can be written as a sum of positive squares in only one way, i.e., 8573184 + 1327104 = 2928^2 + 1152^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9900283) 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, 156 + ... + 4452.

Almost surely, 2^9900288 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 9900288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275807).

9900288 is an abundant number, since it is smaller than the sum of its proper divisors (18651326).

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

9900288 is a wasteful number, since it uses less digits than its factorization.

9900288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4302 counting only the distinct ones).

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

The square root of 9900288 is about 3146.4723103819. The cubic root of 9900288 is about 214.7249990433.

The spelling of 9900288 in words is "nine million, nine hundred thousand, two hundred eighty-eight".