28635668517060 has 72 divisors (see below), whose sum is σ = 94758030372096. Its totient is φ = 6941980246080.

The previous prime is 28635668517047. The next prime is 28635668517061. The reversal of 28635668517060 is 6071586653682.

28635668517060 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 56 + 6 + 8 + 517 + 0 + 60 = 666.

It is a super-4 number, since 4×28635668517060⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (28635668517061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7231227444 + ... + 7231231403.

It is an arithmetic number, because the mean of its divisors is an integer number (1316083755168).

Almost surely, 2^{28635668517060} is an apocalyptic number.

28635668517060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28635668517060 is an abundant number, since it is smaller than the sum of its proper divisors (66122361855036).

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

28635668517060 is a wasteful number, since it uses less digits than its factorization.

28635668517060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14462458873 (or 14462458868 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 28635668517060 in words is "twenty-eight trillion, six hundred thirty-five billion, six hundred sixty-eight million, five hundred seventeen thousand, sixty".