109463328 has 144 divisors (see below), whose sum is σ = 339164280. Its totient is φ = 33486336.

The previous prime is 109463309. The next prime is 109463339. The reversal of 109463328 is 823364901.

109463328 is a `hidden beast` number, since 10 + 9 + 4 + 633 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19820304 + 89643024 = 4452^2 + 9468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 109463292 and 109463301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632650 + ... + 632822.

Almost surely, 2^109463328 is an apocalyptic number.

109463328 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 109463328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169582140).

109463328 is an abundant number, since it is smaller than the sum of its proper divisors (229700952).

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

109463328 is a wasteful number, since it uses less digits than its factorization.

109463328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 109463328 is about 10462.4723655549. The cubic root of 109463328 is about 478.3614965861.

The spelling of 109463328 in words is "one hundred nine million, four hundred sixty-three thousand, three hundred twenty-eight".