11404128 has 48 divisors (see below), whose sum is σ = 30131136. Its totient is φ = 3776640.

The previous prime is 11404121. The next prime is 11404139. The reversal of 11404128 is 82140411.

It is a happy number.

It is a Cunningham number, because it is equal to 3377²-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404121) 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, 19975 + ... + 20537.

It is an arithmetic number, because the mean of its divisors is an integer number (627732).

Almost surely, 2^11404128 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 11404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065568).

11404128 is an abundant number, since it is smaller than the sum of its proper divisors (18727008).

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

11404128 is a wasteful number, since it uses less digits than its factorization.

11404128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 11404128 is about 3376.9998519396. Note that the first 3 decimals coincide. The cubic root of 11404128 is about 225.0888735329.

Adding to 11404128 its reverse (82140411), we get a palindrome (93544539).

The spelling of 11404128 in words is "eleven million, four hundred four thousand, one hundred twenty-eight".