28986560239104 has 560 divisors, whose sum is σ = 93622243615824. Its totient is φ = 8908683264000.

The previous prime is 28986560239099. The next prime is 28986560239151. The reversal of 28986560239104 is 40193206568982.

28986560239104 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 6 + 5 + 602 + 3 + 9 + 10 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4954117779 + ... + 4954123629.

Almost surely, 2^{28986560239104} is an apocalyptic number.

28986560239104 is a gapful number since it is divisible by the number (24) 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 28986560239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46811121807912).

28986560239104 is an abundant number, since it is smaller than the sum of its proper divisors (64635683376720).

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

28986560239104 is an equidigital number, since it uses as much as digits as its factorization.

28986560239104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 28986560239104 in words is "twenty-eight trillion, nine hundred eighty-six billion, five hundred sixty million, two hundred thirty-nine thousand, one hundred four".