11828032 has 56 divisors (see below), whose sum is σ = 25237440. Its totient is φ = 5483520.

The previous prime is 11828029. The next prime is 11828041. The reversal of 11828032 is 23082811.

It is a junction number, because it is equal to n+sod(n) for n = 11827988 and 11828006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86268 + ... + 86404.

Almost surely, 2^11828032 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 11828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618720).

11828032 is an abundant number, since it is smaller than the sum of its proper divisors (13409408).

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

11828032 is a wasteful number, since it uses less digits than its factorization.

11828032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 11828032 is about 3439.1906024529. The cubic root of 11828032 is about 227.8439477970.

The spelling of 11828032 in words is "eleven million, eight hundred twenty-eight thousand, thirty-two".