13084728 has 64 divisors (see below), whose sum is σ = 34636800. Its totient is φ = 4112640.

The previous prime is 13084727. The next prime is 13084741. The reversal of 13084728 is 82748031.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084727) 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 15 ways as a sum of consecutive naturals, for example, 31788 + ... + 32196.

It is an arithmetic number, because the mean of its divisors is an integer number (541200).

Almost surely, 2^13084728 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 13084728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17318400).

13084728 is an abundant number, since it is smaller than the sum of its proper divisors (21552072).

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

13084728 is a wasteful number, since it uses less digits than its factorization.

13084728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 13084728 is about 3617.2818524411. The cubic root of 13084728 is about 235.6431934628.

The spelling of 13084728 in words is "thirteen million, eighty-four thousand, seven hundred twenty-eight".