11689128 has 48 divisors (see below), whose sum is σ = 34538400. Its totient is φ = 3541920.

The previous prime is 11689127. The next prime is 11689133. The reversal of 11689128 is 82198611.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 11689092 and 11689101.

It is not an unprimeable number, because it can be changed into a prime (11689127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6588 + ... + 8171.

It is an arithmetic number, because the mean of its divisors is an integer number (719550).

Almost surely, 2^11689128 is an apocalyptic number.

11689128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11689128 is an abundant number, since it is smaller than the sum of its proper divisors (22849272).

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

11689128 is a wasteful number, since it uses less digits than its factorization.

11689128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14782 (or 14775 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11689128 is about 3418.9366768046. The cubic root of 11689128 is about 226.9485286341.

It can be divided in two parts, 1168 and 9128, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 11689128 in words is "eleven million, six hundred eighty-nine thousand, one hundred twenty-eight".