28114257573360 has 960 divisors, whose sum is σ = 113479974316800. Its totient is φ = 6230504448000.

The previous prime is 28114257573341. The next prime is 28114257573383. The reversal of 28114257573360 is 6337575241182.

28114257573360 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 4 + 2 + 5 + 7 + 573 + 3 + 60 = 666.

It is a super-2 number, since 2×28114257573360² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28114257573297 and 28114257573306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2677288110 + ... + 2677298610.

It is an arithmetic number, because the mean of its divisors is an integer number (118208306580).

Almost surely, 2^{28114257573360} is an apocalyptic number.

28114257573360 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 28114257573360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56739987158400).

28114257573360 is an abundant number, since it is smaller than the sum of its proper divisors (85365716743440).

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

28114257573360 is a wasteful number, since it uses less digits than its factorization.

28114257573360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 28114257573360 in words is "twenty-eight trillion, one hundred fourteen billion, two hundred fifty-seven million, five hundred seventy-three thousand, three hundred sixty".