28842779881344 has 768 divisors, whose sum is σ = 91982762784000. Its totient is φ = 8003182387200.

The previous prime is 28842779881327. The next prime is 28842779881351. The reversal of 28842779881344 is 44318897724882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11315330182 + ... + 11315332730.

It is an arithmetic number, because the mean of its divisors is an integer number (119769222375).

Almost surely, 2^{28842779881344} is an apocalyptic number.

28842779881344 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 28842779881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45991381392000).

28842779881344 is an abundant number, since it is smaller than the sum of its proper divisors (63139982902656).

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

28842779881344 is a wasteful number, since it uses less digits than its factorization.

28842779881344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2709 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 75.

The spelling of 28842779881344 in words is "twenty-eight trillion, eight hundred forty-two billion, seven hundred seventy-nine million, eight hundred eighty-one thousand, three hundred forty-four".