111328448 has 224 divisors, whose sum is σ = 307238400. Its totient is φ = 38707200.

The previous prime is 111328447. The next prime is 111328463. The reversal of 111328448 is 844823111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111328447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2715308 + ... + 2715348.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^111328448 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 111328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

111328448 is an abundant number, since it is smaller than the sum of its proper divisors (195909952).

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

111328448 is a wasteful number, since it uses less digits than its factorization.

111328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 111328448 is about 10551.2296913677. The cubic root of 111328448 is about 481.0631066502.

The spelling of 111328448 in words is "one hundred eleven million, three hundred twenty-eight thousand, four hundred forty-eight".