28429579035117 has 128 divisors (see below), whose sum is σ = 46703186449920. Its totient is φ = 16985232506880.

The previous prime is 28429579035083. The next prime is 28429579035133. The reversal of 28429579035117 is 71153097592482.

It is a happy number.

28429579035117 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 9 + 579 + 0 + 3 + 51 + 1 + 7 = 666.

It is not a de Polignac number, because 28429579035117 - 2¹⁰ = 28429579034093 is a prime.

It is a super-2 number, since 2×28429579035117² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28429579035157) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 549731053 + ... + 549782765.

It is an arithmetic number, because the mean of its divisors is an integer number (364868644140).

Almost surely, 2^{28429579035117} is an apocalyptic number.

28429579035117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

28429579035117 is a deficient number, since it is larger than the sum of its proper divisors (18273607414803).

28429579035117 is a wasteful number, since it uses less digits than its factorization.

28429579035117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52140 (or 52134 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 28429579035117 in words is "twenty-eight trillion, four hundred twenty-nine billion, five hundred seventy-nine million, thirty-five thousand, one hundred seventeen".