28745801344512 has 960 divisors, whose sum is σ = 101358490641408. Its totient is φ = 7963619328000.

The previous prime is 28745801344499. The next prime is 28745801344537. The reversal of 28745801344512 is 21544310854782.

28745801344512 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 5 + 80 + 1 + 3 + 44 + 512 = 666.

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

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, 3771916062 + ... + 3771923682.

Almost surely, 2^{28745801344512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28745801344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50679245320704).

28745801344512 is an abundant number, since it is smaller than the sum of its proper divisors (72612689296896).

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

28745801344512 is an frugal number, since it uses more digits than its factorization.

28745801344512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 28745801344512 in words is "twenty-eight trillion, seven hundred forty-five billion, eight hundred one million, three hundred forty-four thousand, five hundred twelve".