22201728 has 128 divisors (see below), whose sum is σ = 66096000. Its totient is φ = 6561792.

The previous prime is 22201727. The next prime is 22201757. The reversal of 22201728 is 82710222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 22201698 and 22201707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201727) 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, 123943 + ... + 124121.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 2^22201728 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 22201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33048000).

22201728 is an abundant number, since it is smaller than the sum of its proper divisors (43894272).

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

22201728 is a wasteful number, since it uses less digits than its factorization.

22201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 22201728 is about 4711.8709659752. The cubic root of 22201728 is about 281.0577677023.

The spelling of 22201728 in words is "twenty-two million, two hundred one thousand, seven hundred twenty-eight".