13812282828 has 72 divisors (see below), whose sum is σ = 36462037248. Its totient is φ = 4400334048.

The previous prime is 13812282767. The next prime is 13812282833. The reversal of 13812282828 is 82828221831.

13812282828 is a `hidden beast` number, since 1 + 381 + 228 + 28 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125775 + ... + 1137977.

It is an arithmetic number, because the mean of its divisors is an integer number (506417184).

Almost surely, 2^13812282828 is an apocalyptic number.

13812282828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13812282828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18231018624).

13812282828 is an abundant number, since it is smaller than the sum of its proper divisors (22649754420).

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

13812282828 is a wasteful number, since it uses less digits than its factorization.

13812282828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13603 (or 13598 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The spelling of 13812282828 in words is "thirteen billion, eight hundred twelve million, two hundred eighty-two thousand, eight hundred twenty-eight".