13828032 has 42 divisors (see below), whose sum is σ = 39637208. Its totient is φ = 4609152.

The previous prime is 13827977. The next prime is 13828039. The reversal of 13828032 is 23082831.

It is a junction number, because it is equal to n+sod(n) for n = 13827987 and 13828005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11428 + ... + 12579.

Almost surely, 2^13828032 is an apocalyptic number.

13828032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13828032 is an abundant number, since it is smaller than the sum of its proper divisors (25809176).

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

13828032 is a wasteful number, since it uses less digits than its factorization.

13828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24025 (or 24012 counting only the distinct ones).

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

The square root of 13828032 is about 3718.6061904966. The cubic root of 13828032 is about 240.0233310652.

The spelling of 13828032 in words is "thirteen million, eight hundred twenty-eight thousand, thirty-two".