28674714905460 has 768 divisors, whose sum is σ = 105993357926400. Its totient is φ = 6367830847488.

The previous prime is 28674714905413. The next prime is 28674714905477. The reversal of 28674714905460 is 6450941747682.

28674714905460 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 47 + 1 + 49 + 0 + 546 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 696356392 + ... + 696397568.

It is an arithmetic number, because the mean of its divisors is an integer number (138012184800).

Almost surely, 2^{28674714905460} is an apocalyptic number.

28674714905460 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 28674714905460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52996678963200).

28674714905460 is an abundant number, since it is smaller than the sum of its proper divisors (77318643020940).

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

28674714905460 is a wasteful number, since it uses less digits than its factorization.

28674714905460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41477 (or 41469 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 28674714905460 in words is "twenty-eight trillion, six hundred seventy-four billion, seven hundred fourteen million, nine hundred five thousand, four hundred sixty".