28497922138224 has 1280 divisors, whose sum is σ = 111335474073600. Its totient is φ = 6752570572800.

The previous prime is 28497922138111. The next prime is 28497922138261. The reversal of 28497922138224 is 42283122979482.

28497922138224 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 7 + 9 + 221 + 382 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 255 ways as a sum of consecutive naturals, for example, 3640042342 + ... + 3640050170.

It is an arithmetic number, because the mean of its divisors is an integer number (86980839120).

Almost surely, 2^{28497922138224} is an apocalyptic number.

28497922138224 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 28497922138224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55667737036800).

28497922138224 is an abundant number, since it is smaller than the sum of its proper divisors (82837551935376).

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

28497922138224 is a wasteful number, since it uses less digits than its factorization.

28497922138224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8067 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 28497922138224 in words is "twenty-eight trillion, four hundred ninety-seven billion, nine hundred twenty-two million, one hundred thirty-eight thousand, two hundred twenty-four".