928399680 has 336 divisors, whose sum is σ = 3483187344. Its totient is φ = 225607680.

The previous prime is 928399657. The next prime is 928399709. The reversal of 928399680 is 86993829.

It can be written as a sum of positive squares in 8 ways, for example, as 263997504 + 664402176 = 16248^2 + 25776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5129190 + ... + 5129370.

It is an arithmetic number, because the mean of its divisors is an integer number (10366629).

Almost surely, 2^928399680 is an apocalyptic number.

928399680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741593672).

928399680 is an abundant number, since it is smaller than the sum of its proper divisors (2554787664).

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

928399680 is a wasteful number, since it uses less digits than its factorization.

928399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 928399680 is about 30469.6517866549. The cubic root of 928399680 is about 975.5398036495.

The spelling of 928399680 in words is "nine hundred twenty-eight million, three hundred ninety-nine thousand, six hundred eighty".