11741128 has 32 divisors (see below), whose sum is σ = 25522560. Its totient is φ = 4959360.

The previous prime is 11741123. The next prime is 11741131. The reversal of 11741128 is 82114711.

11741128 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

11741128 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (11741123) 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, 2500 + ... + 5452.

It is an arithmetic number, because the mean of its divisors is an integer number (797580).

Almost surely, 2^11741128 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 11741128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12761280).

11741128 is an abundant number, since it is smaller than the sum of its proper divisors (13781432).

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

11741128 is a wasteful number, since it uses less digits than its factorization.

11741128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3033 counting only the distinct ones).

The product of its digits is 448, while the sum is 25.

The square root of 11741128 is about 3426.5329416190. The cubic root of 11741128 is about 227.2845635920.

Adding to 11741128 its reverse (82114711), we get a palindrome (93855839).

The spelling of 11741128 in words is "eleven million, seven hundred forty-one thousand, one hundred twenty-eight".