28314666270720 has 1760 divisors, whose sum is σ = 112472483091408. Its totient is φ = 6783900844032.

The previous prime is 28314666270707. The next prime is 28314666270797. The reversal of 28314666270720 is 2707266641382.

It can be written as a sum of positive squares in 8 ways, for example, as 24675301195776 + 3639365074944 = 4967424^2 + 1907712^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 534238986214 + ... + 534238986266.

Almost surely, 2^{28314666270720} is an apocalyptic number.

28314666270720 is a gapful number since it is divisible by the number (20) 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 28314666270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56236241545704).

28314666270720 is an abundant number, since it is smaller than the sum of its proper divisors (84157816820688).

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

28314666270720 is an frugal number, since it uses more digits than its factorization.

28314666270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 28314666270720 in words is "twenty-eight trillion, three hundred fourteen billion, six hundred sixty-six million, two hundred seventy thousand, seven hundred twenty".