11828832 has 24 divisors (see below), whose sum is σ = 31050936. Its totient is φ = 3942912.

The previous prime is 11828809. The next prime is 11828833. The reversal of 11828832 is 23882811.

11828832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11828793 and 11828802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11828833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61513 + ... + 61704.

It is an arithmetic number, because the mean of its divisors is an integer number (1293789).

Almost surely, 2^11828832 is an apocalyptic number.

11828832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11828832 is an abundant number, since it is smaller than the sum of its proper divisors (19222104).

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

11828832 is a wasteful number, since it uses less digits than its factorization.

11828832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123230 (or 123222 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 11828832 is about 3439.3069069218. The cubic root of 11828832 is about 227.8490844940.

The spelling of 11828832 in words is "eleven million, eight hundred twenty-eight thousand, eight hundred thirty-two".