28656480960 has 672 divisors, whose sum is σ = 108739350720. Its totient is φ = 6900940800.

The previous prime is 28656480949. The next prime is 28656480971. The reversal of 28656480960 is 6908465682.

It is a happy number.

28656480960 is a `hidden beast` number, since 28 + 6 + 56 + 480 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28656480949) and next prime (28656480971).

It is a junction number, because it is equal to n+sod(n) for n = 28656480897 and 28656480906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118906440 + ... + 118906680.

It is an arithmetic number, because the mean of its divisors is an integer number (161814510).

Almost surely, 2^28656480960 is an apocalyptic number.

28656480960 is a gapful number since it is divisible by the number (20) 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 28656480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54369675360).

28656480960 is an abundant number, since it is smaller than the sum of its proper divisors (80082869760).

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

28656480960 is a wasteful number, since it uses less digits than its factorization.

28656480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 28656480960 in words is "twenty-eight billion, six hundred fifty-six million, four hundred eighty thousand, nine hundred sixty".