28400246784 has 896 divisors, whose sum is σ = 110974510080. Its totient is φ = 6964641792.

The previous prime is 28400246779. The next prime is 28400246813. The reversal of 28400246784 is 48764200482.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342171607 + ... + 342171689.

It is an arithmetic number, because the mean of its divisors is an integer number (123855480).

Almost surely, 2^28400246784 is an apocalyptic number.

28400246784 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 28400246784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55487255040).

28400246784 is an abundant number, since it is smaller than the sum of its proper divisors (82574263296).

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

28400246784 is a wasteful number, since it uses less digits than its factorization.

28400246784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 28400246784 in words is "twenty-eight billion, four hundred million, two hundred forty-six thousand, seven hundred eighty-four".