11129832 has 128 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2985984.

The previous prime is 11129827. The next prime is 11129863. The reversal of 11129832 is 23892111.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 11129796 and 11129805.

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 31 ways as a sum of consecutive naturals, for example, 25488 + ... + 25920.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 2^11129832 is an apocalyptic number.

11129832 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 11129832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

11129832 is an abundant number, since it is smaller than the sum of its proper divisors (26367768).

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

11129832 is a wasteful number, since it uses less digits than its factorization.

11129832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11129832 is about 3336.1402848202. The cubic root of 11129832 is about 223.2695701734.

The spelling of 11129832 in words is "eleven million, one hundred twenty-nine thousand, eight hundred thirty-two".