13342728 has 64 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3721536.

The previous prime is 13342727. The next prime is 13342729. The reversal of 13342728 is 82724331.

It is an interprime number because it is at equal distance from previous prime (13342727) and next prime (13342729).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13342695 and 13342704.

It is not an unprimeable number, because it can be changed into a prime (13342727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6301 + ... + 8147.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 2^13342728 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 13342728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

13342728 is an abundant number, since it is smaller than the sum of its proper divisors (25687032).

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

13342728 is a wasteful number, since it uses less digits than its factorization.

13342728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 13342728 is about 3652.7699078918. The cubic root of 13342728 is about 237.1819002690.

The spelling of 13342728 in words is "thirteen million, three hundred forty-two thousand, seven hundred twenty-eight".