920320128 has 192 divisors, whose sum is σ = 3259838400. Its totient is φ = 242694144.

The previous prime is 920320127. The next prime is 920320139. The reversal of 920320128 is 821023029.

It is a happy number.

920320128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (920320127) 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, 100443 + ... + 109221.

It is an arithmetic number, because the mean of its divisors is an integer number (16978325).

Almost surely, 2^920320128 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 920320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629919200).

920320128 is an abundant number, since it is smaller than the sum of its proper divisors (2339518272).

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

920320128 is a wasteful number, since it uses less digits than its factorization.

920320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 920320128 is about 30336.7784710242. The cubic root of 920320128 is about 972.7016221643.

The spelling of 920320128 in words is "nine hundred twenty million, three hundred twenty thousand, one hundred twenty-eight".