11928096 has 72 divisors (see below), whose sum is σ = 34398000. Its totient is φ = 3920256.

The previous prime is 11928079. The next prime is 11928107. The reversal of 11928096 is 69082911.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11928096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23655 + ... + 24153.

It is an arithmetic number, because the mean of its divisors is an integer number (477750).

Almost surely, 2^11928096 is an apocalyptic number.

11928096 is a gapful number since it is divisible by the number (16) 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 11928096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199000).

11928096 is an abundant number, since it is smaller than the sum of its proper divisors (22469904).

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

11928096 is a wasteful number, since it uses less digits than its factorization.

11928096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11928096 is about 3453.7075730293. The cubic root of 11928096 is about 228.4846569444.

The spelling of 11928096 in words is "eleven million, nine hundred twenty-eight thousand, ninety-six".