11384928 has 48 divisors (see below), whose sum is σ = 33208560. Its totient is φ = 3794688.

The previous prime is 11384911. The next prime is 11384929. The reversal of 11384928 is 82948311.

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

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 = 11384892 and 11384901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11384929) 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 7 ways as a sum of consecutive naturals, for example, 5725 + ... + 7452.

It is an arithmetic number, because the mean of its divisors is an integer number (691845).

Almost surely, 2^11384928 is an apocalyptic number.

11384928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11384928 is an abundant number, since it is smaller than the sum of its proper divisors (21823632).

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

11384928 is a wasteful number, since it uses less digits than its factorization.

11384928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13196 (or 13182 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11384928 is about 3374.1558944423. The cubic root of 11384928 is about 224.9624826334.

The spelling of 11384928 in words is "eleven million, three hundred eighty-four thousand, nine hundred twenty-eight".