28517320224 has 144 divisors (see below), whose sum is σ = 85496366592. Its totient is φ = 8998539264.

The previous prime is 28517320189. The next prime is 28517320253. The reversal of 28517320224 is 42202371582.

28517320224 is a `hidden beast` number, since 285 + 173 + 202 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620337 + ... + 664719.

It is an arithmetic number, because the mean of its divisors is an integer number (593724768).

Almost surely, 2^28517320224 is an apocalyptic number.

28517320224 is a gapful number since it is divisible by the number (24) 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 28517320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42748183296).

28517320224 is an abundant number, since it is smaller than the sum of its proper divisors (56979046368).

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

28517320224 is a wasteful number, since it uses less digits than its factorization.

28517320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44519 (or 44508 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 28517320224 in words is "twenty-eight billion, five hundred seventeen million, three hundred twenty thousand, two hundred twenty-four".