12827011428 has 288 divisors, whose sum is σ = 42994748160. Its totient is φ = 3121643520.

The previous prime is 12827011403. The next prime is 12827011429. The reversal of 12827011428 is 82411072821.

It is a happy number.

12827011428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12827011392 and 12827011401.

It is not an unprimeable number, because it can be changed into a prime (12827011429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13806868 + ... + 13807796.

It is an arithmetic number, because the mean of its divisors is an integer number (149287320).

Almost surely, 2^12827011428 is an apocalyptic number.

12827011428 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 12827011428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21497374080).

12827011428 is an abundant number, since it is smaller than the sum of its proper divisors (30167736732).

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

12827011428 is a wasteful number, since it uses less digits than its factorization.

12827011428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12827011428 in words is "twelve billion, eight hundred twenty-seven million, eleven thousand, four hundred twenty-eight".