28056223488384 has 2304 divisors, whose sum is σ = 109610521038720. Its totient is φ = 6717651812352.

The previous prime is 28056223488361. The next prime is 28056223488407. The reversal of 28056223488384 is 48388432265082.

It is a happy number.

28056223488384 is a `hidden beast` number, since 2 + 8 + 0 + 56 + 2 + 23 + 488 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (28056223488361) and next prime (28056223488407).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89636496612 + ... + 89636496924.

Almost surely, 2^{28056223488384} is an apocalyptic number.

28056223488384 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 28056223488384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54805260519360).

28056223488384 is an abundant number, since it is smaller than the sum of its proper divisors (81554297550336).

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

28056223488384 is a wasteful number, since it uses less digits than its factorization.

28056223488384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 28056223488384 in words is "twenty-eight trillion, fifty-six billion, two hundred twenty-three million, four hundred eighty-eight thousand, three hundred eighty-four".