28947663360 has 1600 divisors, whose sum is σ = 135468115200. Its totient is φ = 5852528640.

The previous prime is 28947663319. The next prime is 28947663373. The reversal of 28947663360 is 6336674982.

28947663360 is a `hidden beast` number, since 2 + 89 + 476 + 6 + 33 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28947663297 and 28947663306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 782369262 + ... + 782369298.

It is an arithmetic number, because the mean of its divisors is an integer number (84667572).

Almost surely, 2^28947663360 is an apocalyptic number.

28947663360 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 28947663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67734057600).

28947663360 is an abundant number, since it is smaller than the sum of its proper divisors (106520451840).

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

28947663360 is an equidigital number, since it uses as much as digits as its factorization.

28947663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

It can be divided in two parts, 289476 and 63360, that added together give a square (352836 = 594²).

The spelling of 28947663360 in words is "twenty-eight billion, nine hundred forty-seven million, six hundred sixty-three thousand, three hundred sixty".