28540427480712 has 960 divisors, whose sum is σ = 99548208144000. Its totient is φ = 7612652242944.

The previous prime is 28540427480693. The next prime is 28540427480759. The reversal of 28540427480712 is 21708472404582.

28540427480712 is a `hidden beast` number, since 2 + 8 + 54 + 0 + 42 + 7 + 480 + 71 + 2 = 666.

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 239 ways as a sum of consecutive naturals, for example, 25735281214 + ... + 25735282322.

It is an arithmetic number, because the mean of its divisors is an integer number (103696050150).

Almost surely, 2^{28540427480712} 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 28540427480712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49774104072000).

28540427480712 is an abundant number, since it is smaller than the sum of its proper divisors (71007780663288).

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

28540427480712 is a wasteful number, since it uses less digits than its factorization.

28540427480712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 28540427480712 in words is "twenty-eight trillion, five hundred forty billion, four hundred twenty-seven million, four hundred eighty thousand, seven hundred twelve".