13829728 has 48 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 6208000.

The previous prime is 13829713. The next prime is 13829741. The reversal of 13829728 is 82792831.

13829728 = T₄₇₂ + T₄₇₃ + ... + T₅₇₂.

It is a super-2 number, since 2×13829728² = 382522753107968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35358 + ... + 35746.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^13829728 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 13829728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

13829728 is an abundant number, since it is smaller than the sum of its proper divisors (16243952).

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

13829728 is a wasteful number, since it uses less digits than its factorization.

13829728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 13829728 is about 3718.8342259369. The cubic root of 13829728 is about 240.0331435709.

The spelling of 13829728 in words is "thirteen million, eight hundred twenty-nine thousand, seven hundred twenty-eight".