13882032 has 60 divisors (see below), whose sum is σ = 39171600. Its totient is φ = 4589184.

The previous prime is 13882021. The next prime is 13882049. The reversal of 13882032 is 23028831.

13882032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13881987 and 13882005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21133 + ... + 21779.

It is an arithmetic number, because the mean of its divisors is an integer number (652860).

Almost surely, 2^13882032 is an apocalyptic number.

13882032 is a gapful number since it is divisible by the number (12) 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 13882032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585800).

13882032 is an abundant number, since it is smaller than the sum of its proper divisors (25289568).

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

13882032 is a wasteful number, since it uses less digits than its factorization.

13882032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 801 counting only the distinct ones).

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

The square root of 13882032 is about 3725.8599007477. The cubic root of 13882032 is about 240.3353644928.

The spelling of 13882032 in words is "thirteen million, eight hundred eighty-two thousand, thirty-two".