11829128 has 32 divisors (see below), whose sum is σ = 22952160. Its totient is φ = 5712000.

The previous prime is 11829119. The next prime is 11829131. The reversal of 11829128 is 82192811.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11829094 and 11829103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47003 + ... + 47253.

It is an arithmetic number, because the mean of its divisors is an integer number (717255).

Almost surely, 2^11829128 is an apocalyptic number.

It is an amenable number.

11829128 is a deficient number, since it is larger than the sum of its proper divisors (11123032).

11829128 is a wasteful number, since it uses less digits than its factorization.

11829128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its digits is 2304, while the sum is 32.

The square root of 11829128 is about 3439.3499385785. The cubic root of 11829128 is about 227.8509850131.

The spelling of 11829128 in words is "eleven million, eight hundred twenty-nine thousand, one hundred twenty-eight".