13761328 has 20 divisors (see below), whose sum is σ = 30471760. Its totient is φ = 5897664.

The previous prime is 13761323. The next prime is 13761329. The reversal of 13761328 is 82316731.

It is a self number, because there is not a number n which added to its sum of digits gives 13761328.

It is not an unprimeable number, because it can be changed into a prime (13761323) 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 3 ways as a sum of consecutive naturals, for example, 61323 + ... + 61546.

It is an arithmetic number, because the mean of its divisors is an integer number (1523588).

Almost surely, 2^13761328 is an apocalyptic number.

It is an amenable number.

13761328 is an abundant number, since it is smaller than the sum of its proper divisors (16710432).

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

13761328 is a wasteful number, since it uses less digits than its factorization.

13761328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122884 (or 122878 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 13761328 is about 3709.6263962831. The cubic root of 13761328 is about 239.6367653446.

It can be divided in two parts, 137613 and 28, that added together give a square (137641 = 371²).

The spelling of 13761328 in words is "thirteen million, seven hundred sixty-one thousand, three hundred twenty-eight".