28613394130464 has 576 divisors, whose sum is σ = 99813912726528. Its totient is φ = 7650932889600.

The previous prime is 28613394130457. The next prime is 28613394130499. The reversal of 28613394130464 is 46403149331682.

28613394130464 is a `hidden beast` number, since 2 + 8 + 6 + 13 + 39 + 4 + 130 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28613394130464.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1654805659 + ... + 1654822949.

It is an arithmetic number, because the mean of its divisors is an integer number (173288042928).

Almost surely, 2^{28613394130464} is an apocalyptic number.

28613394130464 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 28613394130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49906956363264).

28613394130464 is an abundant number, since it is smaller than the sum of its proper divisors (71200518596064).

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

28613394130464 is a wasteful number, since it uses less digits than its factorization.

28613394130464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19101 (or 19090 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 28613394130464 in words is "twenty-eight trillion, six hundred thirteen billion, three hundred ninety-four million, one hundred thirty thousand, four hundred sixty-four".