13832028 has 72 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 3912480.

The previous prime is 13832011. The next prime is 13832041. The reversal of 13832028 is 82023831.

It is a junction number, because it is equal to n+sod(n) for n = 13831992 and 13832010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32803 + ... + 33221.

It is an arithmetic number, because the mean of its divisors is an integer number (560560).

Almost surely, 2^13832028 is an apocalyptic number.

13832028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13832028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

13832028 is an abundant number, since it is smaller than the sum of its proper divisors (26528292).

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

13832028 is a wasteful number, since it uses less digits than its factorization.

13832028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13832028 is about 3719.1434497744. The cubic root of 13832028 is about 240.0464493430.

Adding to 13832028 its reverse (82023831), we get a palindrome (95855859).

The spelling of 13832028 in words is "thirteen million, eight hundred thirty-two thousand, twenty-eight".