11389728 has 96 divisors (see below), whose sum is σ = 36215424. Its totient is φ = 3059712.

The previous prime is 11389723. The next prime is 11389771. The reversal of 11389728 is 82798311.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11389723) 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 15 ways as a sum of consecutive naturals, for example, 10926 + ... + 11922.

It is an arithmetic number, because the mean of its divisors is an integer number (377244).

Almost surely, 2^11389728 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 11389728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107712).

11389728 is an abundant number, since it is smaller than the sum of its proper divisors (24825696).

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

11389728 is a wasteful number, since it uses less digits than its factorization.

11389728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 11389728 is about 3374.8671084948. The cubic root of 11389728 is about 224.9940936721.

The spelling of 11389728 in words is "eleven million, three hundred eighty-nine thousand, seven hundred twenty-eight".