11017728 has 80 divisors (see below), whose sum is σ = 32654160. Its totient is φ = 3667968.

The previous prime is 11017691. The next prime is 11017733. The reversal of 11017728 is 82771011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13426 + ... + 14222.

It is an arithmetic number, because the mean of its divisors is an integer number (408177).

Almost surely, 2^11017728 is an apocalyptic number.

11017728 is a gapful number since it is divisible by the number (18) 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 11017728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16327080).

11017728 is an abundant number, since it is smaller than the sum of its proper divisors (21636432).

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

11017728 is an frugal number, since it uses more digits than its factorization.

11017728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 11017728 is about 3319.2963109671. The cubic root of 11017728 is about 222.5174198372.

Adding to 11017728 its reverse (82771011), we get a palindrome (93788739).

The spelling of 11017728 in words is "eleven million, seventeen thousand, seven hundred twenty-eight".