9920128 has 32 divisors (see below), whose sum is σ = 20808000. Its totient is φ = 4697856.

The previous prime is 9920123. The next prime is 9920137. The reversal of 9920128 is 8210299.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 9920128.

It is not an unprimeable number, because it can be changed into a prime (9920123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393 + ... + 4471.

It is an arithmetic number, because the mean of its divisors is an integer number (650250).

Almost surely, 2^9920128 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 9920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10404000).

9920128 is an abundant number, since it is smaller than the sum of its proper divisors (10887872).

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

9920128 is a wasteful number, since it uses less digits than its factorization.

9920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 9920128 is about 3149.6234695595. The cubic root of 9920128 is about 214.8683383547.

The spelling of 9920128 in words is "nine million, nine hundred twenty thousand, one hundred twenty-eight".