28117557617760 has 1920 divisors, whose sum is σ = 113491214242560. Its totient is φ = 6503998685184.

The previous prime is 28117557617749. The next prime is 28117557617777. The reversal of 28117557617760 is 6771675571182.

28117557617760 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 7 + 5 + 5 + 7 + 617 + 7 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 68747084436 + ... + 68747084844.

It is an arithmetic number, because the mean of its divisors is an integer number (59110007418).

Almost surely, 2^{28117557617760} is an apocalyptic number.

28117557617760 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 28117557617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56745607121280).

28117557617760 is an abundant number, since it is smaller than the sum of its proper divisors (85373656624800).

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

28117557617760 is a wasteful number, since it uses less digits than its factorization.

28117557617760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 63.

The spelling of 28117557617760 in words is "twenty-eight trillion, one hundred seventeen billion, five hundred fifty-seven million, six hundred seventeen thousand, seven hundred sixty".