28794124495584 has 1152 divisors, whose sum is σ = 107054941593600. Its totient is φ = 7423633981440.

The previous prime is 28794124495561. The next prime is 28794124495603. The reversal of 28794124495584 is 48559442149782.

28794124495584 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 4 + 1 + 24 + 49 + 558 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3126732772 + ... + 3126741980.

It is an arithmetic number, because the mean of its divisors is an integer number (92929636800).

Almost surely, 2^{28794124495584} is an apocalyptic number.

28794124495584 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 28794124495584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53527470796800).

28794124495584 is an abundant number, since it is smaller than the sum of its proper divisors (78260817098016).

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

28794124495584 is a wasteful number, since it uses less digits than its factorization.

28794124495584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9398 (or 9378 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 28794124495584 in words is "twenty-eight trillion, seven hundred ninety-four billion, one hundred twenty-four million, four hundred ninety-five thousand, five hundred eighty-four".