928680480 has 576 divisors, whose sum is σ = 4116752640. Its totient is φ = 185131008.

The previous prime is 928680439. The next prime is 928680481. The reversal of 928680480 is 84086829.

It is a happy number.

928680480 is a `hidden beast` number, since 92 + 8 + 6 + 80 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (928680481) 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 95 ways as a sum of consecutive naturals, for example, 2489574 + ... + 2489946.

It is an arithmetic number, because the mean of its divisors is an integer number (7147140).

Almost surely, 2^928680480 is an apocalyptic number.

928680480 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 928680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058376320).

928680480 is an abundant number, since it is smaller than the sum of its proper divisors (3188072160).

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

928680480 is a wasteful number, since it uses less digits than its factorization.

928680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 928680480 is about 30474.2593019092. The cubic root of 928680480 is about 975.6381463389.

The spelling of 928680480 in words is "nine hundred twenty-eight million, six hundred eighty thousand, four hundred eighty".