28568517120 has 1440 divisors, whose sum is σ = 126163889280. Its totient is φ = 5904138240.

The previous prime is 28568517079. The next prime is 28568517137. The reversal of 28568517120 is 2171586582.

28568517120 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 8 + 517 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 985121266 + ... + 985121294.

It is an arithmetic number, because the mean of its divisors is an integer number (87613812).

Almost surely, 2^28568517120 is an apocalyptic number.

28568517120 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 28568517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63081944640).

28568517120 is an abundant number, since it is smaller than the sum of its proper divisors (97595372160).

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

28568517120 is a wasteful number, since it uses less digits than its factorization.

28568517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 28568517120 in words is "twenty-eight billion, five hundred sixty-eight million, five hundred seventeen thousand, one hundred twenty".