11329992 has 48 divisors (see below), whose sum is σ = 31522140. Its totient is φ = 3673728.

The previous prime is 11329991. The next prime is 11329993. The reversal of 11329992 is 29992311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11329991) and next prime (11329993).

It can be written as a sum of positive squares in 2 ways, for example, as 11329956 + 36 = 3366^2 + 6^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11329991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538 + ... + 4790.

Almost surely, 2^11329992 is an apocalyptic number.

11329992 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 11329992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15761070).

11329992 is an abundant number, since it is smaller than the sum of its proper divisors (20192148).

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

11329992 is a wasteful number, since it uses less digits than its factorization.

11329992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4295 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 11329992 is about 3366.0053475893. The cubic root of 11329992 is about 224.6000598934.

Subtracting from 11329992 its sum of digits (36), we obtain a square (11329956 = 3366²).

It can be divided in two parts, 11329 and 992, that added together give a palindrome (12321).

The spelling of 11329992 in words is "eleven million, three hundred twenty-nine thousand, nine hundred ninety-two".