28688856514560 has 2016 divisors, whose sum is σ = 115855864645248. Its totient is φ = 6757401231360.

The previous prime is 28688856514543. The next prime is 28688856514567. The reversal of 28688856514560 is 6541565888682.

28688856514560 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 8 + 8 + 5 + 6 + 51 + 4 + 560 = 666.

It is a super-2 number, since 2×28688856514560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28688856514567) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 278532587469 + ... + 278532587571.

It is an arithmetic number, because the mean of its divisors is an integer number (57468186828).

Almost surely, 2^{28688856514560} is an apocalyptic number.

28688856514560 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 28688856514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57927932322624).

28688856514560 is an abundant number, since it is smaller than the sum of its proper divisors (87167008130688).

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

28688856514560 is an frugal number, since it uses more digits than its factorization.

28688856514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 884736000, while the sum is 72.

The spelling of 28688856514560 in words is "twenty-eight trillion, six hundred eighty-eight billion, eight hundred fifty-six million, five hundred fourteen thousand, five hundred sixty".