28249432345344 has 1728 divisors, whose sum is σ = 100743442329600. Its totient is φ = 6961069817856.

The previous prime is 28249432345333. The next prime is 28249432345397. The reversal of 28249432345344 is 44354323494282.

28249432345344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101983510134 + ... + 101983510410.

It is an arithmetic number, because the mean of its divisors is an integer number (58300603200).

Almost surely, 2^{28249432345344} is an apocalyptic number.

28249432345344 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 28249432345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371721164800).

28249432345344 is an abundant number, since it is smaller than the sum of its proper divisors (72494009984256).

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

28249432345344 is a wasteful number, since it uses less digits than its factorization.

28249432345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 597 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 57.

The spelling of 28249432345344 in words is "twenty-eight trillion, two hundred forty-nine billion, four hundred thirty-two million, three hundred forty-five thousand, three hundred forty-four".