928226304 has 330 divisors, whose sum is σ = 3019799904. Its totient is φ = 283668480.

The previous prime is 928226303. The next prime is 928226329. The reversal of 928226304 is 403622829.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928226303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 29942769 + ... + 29942799.

Almost surely, 2^928226304 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 928226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509899952).

928226304 is an abundant number, since it is smaller than the sum of its proper divisors (2091573600).

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

928226304 is a wasteful number, since it uses less digits than its factorization.

928226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 928226304 is about 30466.8065934059. The cubic root of 928226304 is about 975.4790734409.

The spelling of 928226304 in words is "nine hundred twenty-eight million, two hundred twenty-six thousand, three hundred four".