111455328 has 48 divisors (see below), whose sum is σ = 295611120. Its totient is φ = 36765696.

The previous prime is 111455297. The next prime is 111455329. The reversal of 111455328 is 823554111.

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

It is a junction number, because it is equal to n+sod(n) for n = 111455295 and 111455304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111455329) 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, 3328 + ... + 15296.

It is an arithmetic number, because the mean of its divisors is an integer number (6158565).

Almost surely, 2^111455328 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 111455328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147805560).

111455328 is an abundant number, since it is smaller than the sum of its proper divisors (184155792).

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

111455328 is a wasteful number, since it uses less digits than its factorization.

111455328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079 (or 12071 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 111455328 is about 10557.2405485524. The cubic root of 111455328 is about 481.2457916538.

The spelling of 111455328 in words is "one hundred eleven million, four hundred fifty-five thousand, three hundred twenty-eight".