28121414274135 has 256 divisors, whose sum is σ = 65442324971520. Its totient is φ = 11118480629760.

The previous prime is 28121414274103. The next prime is 28121414274143. The reversal of 28121414274135 is 53147241412182.

28121414274135 is a `hidden beast` number, since 2 + 8 + 1 + 214 + 1 + 427 + 4 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 28121414274135 - 2⁵ = 28121414274103 is a prime.

It is a super-3 number, since 3×28121414274135³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 46270525 + ... + 46874345.

It is an arithmetic number, because the mean of its divisors is an integer number (255634081920).

Almost surely, 2^{28121414274135} is an apocalyptic number.

28121414274135 is an abundant number, since it is smaller than the sum of its proper divisors (37320910697385).

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

28121414274135 is a wasteful number, since it uses less digits than its factorization.

28121414274135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604095 (or 604089 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 28121414274135 in words is "twenty-eight trillion, one hundred twenty-one billion, four hundred fourteen million, two hundred seventy-four thousand, one hundred thirty-five".