11628432 has 60 divisors (see below), whose sum is σ = 33968064. Its totient is φ = 3706560.

The previous prime is 11628413. The next prime is 11628467. The reversal of 11628432 is 23482611.

11628432 is a `hidden beast` number, since 1 + 1 + 628 + 4 + 32 = 666.

11628432 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 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 = 11628396 and 11628405.

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, 1557 + ... + 5067.

Almost surely, 2^11628432 is an apocalyptic number.

11628432 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 11628432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984032).

11628432 is an abundant number, since it is smaller than the sum of its proper divisors (22339632).

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

11628432 is a wasteful number, since it uses less digits than its factorization.

11628432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3539 counting only the distinct ones).

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

The square root of 11628432 is about 3410.0486800044. The cubic root of 11628432 is about 226.5550353815. Note that the first 3 decimals are identical.

The spelling of 11628432 in words is "eleven million, six hundred twenty-eight thousand, four hundred thirty-two".