28943427842784 has 1920 divisors, whose sum is σ = 114021962385408. Its totient is φ = 6994189762560.

The previous prime is 28943427842783. The next prime is 28943427842821. The reversal of 28943427842784 is 48724872434982.

28943427842784 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 342 + 7 + 8 + 4 + 278 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28943427842783) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12363701454 + ... + 12363703794.

Almost surely, 2^{28943427842784} is an apocalyptic number.

28943427842784 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 28943427842784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57010981192704).

28943427842784 is an abundant number, since it is smaller than the sum of its proper divisors (85078534542624).

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

28943427842784 is a wasteful number, since it uses less digits than its factorization.

28943427842784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2485 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 72.

The spelling of 28943427842784 in words is "twenty-eight trillion, nine hundred forty-three billion, four hundred twenty-seven million, eight hundred forty-two thousand, seven hundred eighty-four".