928796960 has 216 divisors, whose sum is σ = 2767928436. Its totient is φ = 293529600.

The previous prime is 928796959. The next prime is 928797011. The reversal of 928796960 is 69697829.

It can be written as a sum of positive squares in 6 ways, for example, as 234579856 + 694217104 = 15316^2 + 26348^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 928796896 and 928796905.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1324610 + ... + 1325310.

Almost surely, 2^928796960 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 928796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383964218).

928796960 is an abundant number, since it is smaller than the sum of its proper divisors (1839131476).

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

928796960 is a wasteful number, since it uses less digits than its factorization.

928796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 56.

The square root of 928796960 is about 30476.1703630886. The cubic root of 928796960 is about 975.6789345263.

The spelling of 928796960 in words is "nine hundred twenty-eight million, seven hundred ninety-six thousand, nine hundred sixty".