11428832 has 48 divisors (see below), whose sum is σ = 23877504. Its totient is φ = 5376000.

The previous prime is 11428829. The next prime is 11428853. The reversal of 11428832 is 23882411.

11428832 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 = 11428795 and 11428804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40532 + ... + 40812.

It is an arithmetic number, because the mean of its divisors is an integer number (497448).

Almost surely, 2^11428832 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 11428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938752).

11428832 is an abundant number, since it is smaller than the sum of its proper divisors (12448672).

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

11428832 is a wasteful number, since it uses less digits than its factorization.

11428832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 11428832 is about 3380.6555577284. The cubic root of 11428832 is about 225.2512879725.

The spelling of 11428832 in words is "eleven million, four hundred twenty-eight thousand, eight hundred thirty-two".