13485728 has 48 divisors (see below), whose sum is σ = 28195776. Its totient is φ = 6336000.

The previous prime is 13485721. The next prime is 13485737. The reversal of 13485728 is 82758431.

It is a junction number, because it is equal to n+sod(n) for n = 13485691 and 13485700.

It is not an unprimeable number, because it can be changed into a prime (13485721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53603 + ... + 53853.

It is an arithmetic number, because the mean of its divisors is an integer number (587412).

Almost surely, 2^13485728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13485728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14097888).

13485728 is an abundant number, since it is smaller than the sum of its proper divisors (14710048).

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

13485728 is a wasteful number, since it uses less digits than its factorization.

13485728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 13485728 is about 3672.2919273936. The cubic root of 13485728 is about 238.0262193650.

The spelling of 13485728 in words is "thirteen million, four hundred eighty-five thousand, seven hundred twenty-eight".