28254559524480 has 384 divisors, whose sum is σ = 101823099131520. Its totient is φ = 7205930164224.

The previous prime is 28254559524467. The next prime is 28254559524547. The reversal of 28254559524480 is 8442595545282.

28254559524480 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 45 + 5 + 95 + 24 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1441770042 + ... + 1441789638.

It is an arithmetic number, because the mean of its divisors is an integer number (265164320655).

Almost surely, 2^{28254559524480} is an apocalyptic number.

28254559524480 is a gapful number since it is divisible by the number (20) 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 28254559524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50911549565760).

28254559524480 is an abundant number, since it is smaller than the sum of its proper divisors (73568539607040).

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

28254559524480 is a wasteful number, since it uses less digits than its factorization.

28254559524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30528 (or 30513 counting only the distinct ones).

The product of its (nonzero) digits is 184320000, while the sum is 63.

The spelling of 28254559524480 in words is "twenty-eight trillion, two hundred fifty-four billion, five hundred fifty-nine million, five hundred twenty-four thousand, four hundred eighty".