28154647560960 has 2304 divisors, whose sum is σ = 114310683648000. Its totient is φ = 6519159521280.

The previous prime is 28154647560883. The next prime is 28154647560973. The reversal of 28154647560960 is 6906574645182.

28154647560960 is a `hidden beast` number, since 2 + 8 + 1 + 5 + 4 + 6 + 4 + 7 + 560 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×28154647560960² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 117801872521 + ... + 117801872759.

It is an arithmetic number, because the mean of its divisors is an integer number (49614012000).

Almost surely, 2^{28154647560960} is an apocalyptic number.

28154647560960 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 28154647560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57155341824000).

28154647560960 is an abundant number, since it is smaller than the sum of its proper divisors (86156036087040).

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

28154647560960 is a wasteful number, since it uses less digits than its factorization.

28154647560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 28154647560960 in words is "twenty-eight trillion, one hundred fifty-four billion, six hundred forty-seven million, five hundred sixty thousand, nine hundred sixty".