28798717017600 has 1920 divisors, whose sum is σ = 113278308295680. Its totient is φ = 7149911408640.

The previous prime is 28798717017533. The next prime is 28798717017689. The reversal of 28798717017600 is 671071789782.

28798717017600 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 8 + 7 + 1 + 7 + 0 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×28798717017600² (a number of 28 digits) contains 22 as substring.

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, 82993420627 + ... + 82993420973.

It is an arithmetic number, because the mean of its divisors is an integer number (58999118904).

Almost surely, 2^{28798717017600} is an apocalyptic number.

28798717017600 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 28798717017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56639154147840).

28798717017600 is an abundant number, since it is smaller than the sum of its proper divisors (84479591278080).

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

28798717017600 is a wasteful number, since it uses less digits than its factorization.

28798717017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 63.

The spelling of 28798717017600 in words is "twenty-eight trillion, seven hundred ninety-eight billion, seven hundred seventeen million, seventeen thousand, six hundred".