13500729828 has 36 divisors (see below), whose sum is σ = 34200914748. Its totient is φ = 4490475840.

The previous prime is 13500729817. The next prime is 13500729829. The reversal of 13500729828 is 82892700531.

It is a happy number.

13500729828 is a `hidden beast` number, since 1 + 350 + 0 + 7 + 298 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3732965604 + 9767764224 = 61098^2 + 98832^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13500729829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390151 + ... + 423342.

Almost surely, 2^13500729828 is an apocalyptic number.

13500729828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13500729828 is an abundant number, since it is smaller than the sum of its proper divisors (20700184920).

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

13500729828 is a wasteful number, since it uses less digits than its factorization.

13500729828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813964 (or 813959 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13500729828 in words is "thirteen billion, five hundred million, seven hundred twenty-nine thousand, eight hundred twenty-eight".