28401758784 has 224 divisors, whose sum is σ = 97753017600. Its totient is φ = 7916728320.

The previous prime is 28401758767. The next prime is 28401758813. The reversal of 28401758784 is 48785710482.

28401758784 is a `hidden beast` number, since 2 + 8 + 40 + 17 + 587 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28401758784.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467302 + ... + 524570.

It is an arithmetic number, because the mean of its divisors is an integer number (436397400).

Almost surely, 2^28401758784 is an apocalyptic number.

28401758784 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 28401758784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48876508800).

28401758784 is an abundant number, since it is smaller than the sum of its proper divisors (69351258816).

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

28401758784 is a wasteful number, since it uses less digits than its factorization.

28401758784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57338 (or 57322 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 28401758784 in words is "twenty-eight billion, four hundred one million, seven hundred fifty-eight thousand, seven hundred eighty-four".