11289792 has 56 divisors (see below), whose sum is σ = 30171136. Its totient is φ = 3725568.

The previous prime is 11289791. The next prime is 11289793. The reversal of 11289792 is 29798211.

It is an interprime number because it is at equal distance from previous prime (11289791) and next prime (11289793).

It is a self number, because there is not a number n which added to its sum of digits gives 11289792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289791) 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, 24153 + ... + 24615.

Almost surely, 2^11289792 is an apocalyptic number.

11289792 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 11289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085568).

11289792 is an abundant number, since it is smaller than the sum of its proper divisors (18881344).

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

11289792 is a wasteful number, since it uses less digits than its factorization.

11289792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 11289792 is about 3360.0285713071. The cubic root of 11289792 is about 224.3341102491.

The spelling of 11289792 in words is "eleven million, two hundred eighty-nine thousand, seven hundred ninety-two".