109441728 has 168 divisors, whose sum is σ = 357566976. Its totient is φ = 31680000.

The previous prime is 109441721. The next prime is 109441757. The reversal of 109441728 is 827144901.

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

It is a junction number, because it is equal to n+sod(n) for n = 109441692 and 109441701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109441721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145353 + ... + 146103.

Almost surely, 2^109441728 is an apocalyptic number.

109441728 is a gapful number since it is divisible by the number (18) 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 109441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178783488).

109441728 is an abundant number, since it is smaller than the sum of its proper divisors (248125248).

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

109441728 is a wasteful number, since it uses less digits than its factorization.

109441728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 109441728 is about 10461.4400538358. The cubic root of 109441728 is about 478.3300300721.

The spelling of 109441728 in words is "one hundred nine million, four hundred forty-one thousand, seven hundred twenty-eight".