13829088 has 96 divisors (see below), whose sum is σ = 44706816. Its totient is φ = 3644928.

The previous prime is 13829071. The next prime is 13829099. The reversal of 13829088 is 88092831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7945 + ... + 9527.

It is an arithmetic number, because the mean of its divisors is an integer number (465696).

Almost surely, 2^13829088 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 13829088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353408).

13829088 is an abundant number, since it is smaller than the sum of its proper divisors (30877728).

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

13829088 is a wasteful number, since it uses less digits than its factorization.

13829088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 13829088 is about 3718.7481764701. The cubic root of 13829088 is about 240.0294408328.

The spelling of 13829088 in words is "thirteen million, eight hundred twenty-nine thousand, eighty-eight".