28303117210368 has 1008 divisors, whose sum is σ = 113730224407296. Its totient is φ = 6785917378560.

The previous prime is 28303117210351. The next prime is 28303117210387. The reversal of 28303117210368 is 86301271130382.

28303117210368 is a `hidden beast` number, since 2 + 8 + 30 + 31 + 17 + 210 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 186734871 + ... + 186886377.

Almost surely, 2^{28303117210368} is an apocalyptic number.

28303117210368 is a gapful number since it is divisible by the number (28) 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 28303117210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56865112203648).

28303117210368 is an abundant number, since it is smaller than the sum of its proper divisors (85427107196928).

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

28303117210368 is a wasteful number, since it uses less digits than its factorization.

28303117210368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151572 (or 151543 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28303117210368 in words is "twenty-eight trillion, three hundred three billion, one hundred seventeen million, two hundred ten thousand, three hundred sixty-eight".