11392128 has 192 divisors, whose sum is σ = 38188800. Its totient is φ = 3225600.

The previous prime is 11392127. The next prime is 11392141. The reversal of 11392128 is 82129311.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11392127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367473 + ... + 367503.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 2^11392128 is an apocalyptic number.

11392128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

11392128 is an abundant number, since it is smaller than the sum of its proper divisors (26796672).

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

11392128 is a wasteful number, since it uses less digits than its factorization.

11392128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11392128 is about 3375.2226593219. Note that the first 3 decimals coincide. The cubic root of 11392128 is about 225.0098958611.

The spelling of 11392128 in words is "eleven million, three hundred ninety-two thousand, one hundred twenty-eight".