11032728 has 64 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 2966016.

The previous prime is 11032727. The next prime is 11032741. The reversal of 11032728 is 82723011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11032698 and 11032707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925 + ... + 4787.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 2^11032728 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 11032728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

11032728 is an abundant number, since it is smaller than the sum of its proper divisors (22352232).

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

11032728 is a wasteful number, since it uses less digits than its factorization.

11032728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11032728 is about 3321.5550574994. Note that the first 3 decimals coincide. The cubic root of 11032728 is about 222.6183555812.

Adding to 11032728 its reverse (82723011), we get a palindrome (93755739).

The spelling of 11032728 in words is "eleven million, thirty-two thousand, seven hundred twenty-eight".