99221328 has 120 divisors (see below), whose sum is σ = 295516800. Its totient is φ = 31872960.

The previous prime is 99221327. The next prime is 99221329. The reversal of 99221328 is 82312299.

It is an interprime number because it is at equal distance from previous prime (99221327) and next prime (99221329).

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.

It is a junction number, because it is equal to n+sod(n) for n = 99221292 and 99221301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99221321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415033 + ... + 415271.

It is an arithmetic number, because the mean of its divisors is an integer number (2462640).

Almost surely, 2^99221328 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 99221328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147758400).

99221328 is an abundant number, since it is smaller than the sum of its proper divisors (196295472).

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

99221328 is a wasteful number, since it uses less digits than its factorization.

99221328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 275 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 99221328 is about 9960.9903122129. The cubic root of 99221328 is about 462.9509843043.

The spelling of 99221328 in words is "ninety-nine million, two hundred twenty-one thousand, three hundred twenty-eight".