11272128 has 56 divisors (see below), whose sum is σ = 34088832. Its totient is φ = 3220224.

The previous prime is 11272123. The next prime is 11272169. The reversal of 11272128 is 82127211.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 11272098 and 11272107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11272123) 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, 2850 + ... + 5537.

Almost surely, 2^11272128 is an apocalyptic number.

It is an amenable number.

11272128 is an abundant number, since it is smaller than the sum of its proper divisors (22816704).

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

11272128 is an equidigital number, since it uses as much as digits as its factorization.

11272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8399 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 11272128 is about 3357.3989932684. The cubic root of 11272128 is about 224.2170515183.

Adding to 11272128 its reverse (82127211), we get a palindrome (93399339).

The spelling of 11272128 in words is "eleven million, two hundred seventy-two thousand, one hundred twenty-eight".