11219728 has 80 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 4589568.

The previous prime is 11219717. The next prime is 11219731. The reversal of 11219728 is 82791211.

Its product of digits (2016) is a multiple of the sum of its prime factors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 11219728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67101 + ... + 67267.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^11219728 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 11219728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

11219728 is an abundant number, since it is smaller than the sum of its proper divisors (15028592).

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

11219728 is a wasteful number, since it uses less digits than its factorization.

11219728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 2016, while the sum is 31.

The square root of 11219728 is about 3349.5862431053. The cubic root of 11219728 is about 223.8690774054.

It can be divided in two parts, 112197 and 28, that added together give a square (112225 = 335²).

The spelling of 11219728 in words is "eleven million, two hundred nineteen thousand, seven hundred twenty-eight".