28018742686128 has 120 divisors (see below), whose sum is σ = 79428355166160. Its totient is φ = 9219066531840.

The previous prime is 28018742686009. The next prime is 28018742686183. The reversal of 28018742686128 is 82168624781082.

28018742686128 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 8 + 7 + 4 + 2 + 6 + 8 + 612 + 8 = 666.

It is a super-2 number, since 2×28018742686128² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5756523 + ... + 9443253.

It is an arithmetic number, because the mean of its divisors is an integer number (661902959718).

Almost surely, 2^{28018742686128} 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 28018742686128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39714177583080).

28018742686128 is an abundant number, since it is smaller than the sum of its proper divisors (51409612480032).

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

28018742686128 is a wasteful number, since it uses less digits than its factorization.

28018742686128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687427 (or 3687418 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 28018742686128 in words is "twenty-eight trillion, eighteen billion, seven hundred forty-two million, six hundred eighty-six thousand, one hundred twenty-eight".