928080384 has 480 divisors, whose sum is σ = 3358713600. Its totient is φ = 224501760.

The previous prime is 928080331. The next prime is 928080389. The reversal of 928080384 is 483080829.

It is a happy number.

It is a super-2 number, since 2×928080384² = 1722666398331174912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (928080389) 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 47 ways as a sum of consecutive naturals, for example, 15730147 + ... + 15730205.

It is an arithmetic number, because the mean of its divisors is an integer number (6997320).

Almost surely, 2^928080384 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 928080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679356800).

928080384 is an abundant number, since it is smaller than the sum of its proper divisors (2430633216).

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

928080384 is a wasteful number, since it uses less digits than its factorization.

928080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 928080384 is about 30464.4117619231. The cubic root of 928080384 is about 975.4279546691.

The spelling of 928080384 in words is "nine hundred twenty-eight million, eighty thousand, three hundred eighty-four".