11292032 has 32 divisors (see below), whose sum is σ = 22986720. Its totient is φ = 5522944.

The previous prime is 11291999. The next prime is 11292037. The reversal of 11292032 is 23029211.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 11291995 and 11292013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11292037) 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, 5078 + ... + 6954.

It is an arithmetic number, because the mean of its divisors is an integer number (718335).

Almost surely, 2^11292032 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 11292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11493360).

11292032 is an abundant number, since it is smaller than the sum of its proper divisors (11694688).

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

11292032 is an equidigital number, since it uses as much as digits as its factorization.

11292032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 11292032 is about 3360.3618852737. The cubic root of 11292032 is about 224.3489459277.

The spelling of 11292032 in words is "eleven million, two hundred ninety-two thousand, thirty-two".