11292352 has 56 divisors (see below), whose sum is σ = 24195024. Its totient is φ = 5210112.

The previous prime is 11292349. The next prime is 11292353. The reversal of 11292352 is 25329211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11292353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105483 + ... + 105589.

It is an arithmetic number, because the mean of its divisors is an integer number (432054).

Almost surely, 2^11292352 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 11292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097512).

11292352 is an abundant number, since it is smaller than the sum of its proper divisors (12902672).

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

11292352 is a wasteful number, since it uses less digits than its factorization.

11292352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 11292352 is about 3360.4094988558. The cubic root of 11292352 is about 224.3510651502.

It can be divided in two parts, 1129 and 2352, that added together give a square (3481 = 59²).

The spelling of 11292352 in words is "eleven million, two hundred ninety-two thousand, three hundred fifty-two".