9989213328 has 480 divisors, whose sum is σ = 32890752000. Its totient is φ = 2895298560.

The previous prime is 9989213323. The next prime is 9989213363. The reversal of 9989213328 is 8233129899.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (9989213323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112238308 + ... + 112238396.

It is an arithmetic number, because the mean of its divisors is an integer number (68522400).

Almost surely, 2^9989213328 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 9989213328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445376000).

9989213328 is an abundant number, since it is smaller than the sum of its proper divisors (22901538672).

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

9989213328 is a wasteful number, since it uses less digits than its factorization.

9989213328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 9989213328 is about 99946.0520881140. The cubic root of 9989213328 is about 2153.6597719939.

The spelling of 9989213328 in words is "nine billion, nine hundred eighty-nine million, two hundred thirteen thousand, three hundred twenty-eight".