13028862132 has 288 divisors, whose sum is σ = 40319959680. Its totient is φ = 3493002240.

The previous prime is 13028862097. The next prime is 13028862139. The reversal of 13028862132 is 23126882031.

13028862132 is a `hidden beast` number, since 1 + 3 + 0 + 28 + 8 + 621 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028862139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29410303 + ... + 29410745.

It is an arithmetic number, because the mean of its divisors is an integer number (139999860).

Almost surely, 2^13028862132 is an apocalyptic number.

13028862132 is a gapful number since it is divisible by the number (12) 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 13028862132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20159979840).

13028862132 is an abundant number, since it is smaller than the sum of its proper divisors (27291097548).

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

13028862132 is a wasteful number, since it uses less digits than its factorization.

13028862132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13028862132 in words is "thirteen billion, twenty-eight million, eight hundred sixty-two thousand, one hundred thirty-two".