13027728 has 120 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 3575040.

The previous prime is 13027727. The next prime is 13027733. The reversal of 13027728 is 82772031.

It is a junction number, because it is equal to n+sod(n) for n = 13027695 and 13027704.

It is not an unprimeable number, because it can be changed into a prime (13027723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68113 + ... + 68303.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 2^13027728 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 13027728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

13027728 is an abundant number, since it is smaller than the sum of its proper divisors (27683952).

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

13027728 is a wasteful number, since it uses less digits than its factorization.

13027728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 13027728 is about 3609.3944090387. The cubic root of 13027728 is about 235.3005239236.

Adding to 13027728 its reverse (82772031), we get a palindrome (95799759).

It can be divided in two parts, 130277 and 28, that added together give a triangular number (130305 = T₅₁₀).

The spelling of 13027728 in words is "thirteen million, twenty-seven thousand, seven hundred twenty-eight".