9929392128 has 384 divisors, whose sum is σ = 31488256800. Its totient is φ = 3121348608.

The previous prime is 9929392127. The next prime is 9929392129. The reversal of 9929392128 is 8212939299.

It is an interprime number because it is at equal distance from previous prime (9929392127) and next prime (9929392129).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×9929392128³ (a number of 31 digits) contains 333 as substring.

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 (9929392127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230916075 + ... + 230916117.

Almost surely, 2^9929392128 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 9929392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744128400).

9929392128 is an abundant number, since it is smaller than the sum of its proper divisors (21558864672).

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

9929392128 is an frugal number, since it uses more digits than its factorization.

9929392128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 9929392128 is about 99646.3352462096. The cubic root of 9929392128 is about 2149.3520403987.

The spelling of 9929392128 in words is "nine billion, nine hundred twenty-nine million, three hundred ninety-two thousand, one hundred twenty-eight".