13128768 has 84 divisors (see below), whose sum is σ = 39307008. Its totient is φ = 4181760.

The previous prime is 13128761. The next prime is 13128769. The reversal of 13128768 is 86782131.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13128761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12753 + ... + 13743.

Almost surely, 2^13128768 is an apocalyptic number.

13128768 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 13128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19653504).

13128768 is an abundant number, since it is smaller than the sum of its proper divisors (26178240).

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

13128768 is a wasteful number, since it uses less digits than its factorization.

13128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13128768 is about 3623.3641826347. The cubic root of 13128768 is about 235.9072698985.

The spelling of 13128768 in words is "thirteen million, one hundred twenty-eight thousand, seven hundred sixty-eight".