109728768 has 88 divisors (see below), whose sum is σ = 305379648. Its totient is φ = 34963456.

The previous prime is 109728757. The next prime is 109728797. The reversal of 109728768 is 867827901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69880 + ... + 71432.

Almost surely, 2^109728768 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 109728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152689824).

109728768 is an abundant number, since it is smaller than the sum of its proper divisors (195650880).

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

109728768 is a wasteful number, since it uses less digits than its factorization.

109728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 109728768 is about 10475.1500227920. The cubic root of 109728768 is about 478.7478475226.

The spelling of 109728768 in words is "one hundred nine million, seven hundred twenty-eight thousand, seven hundred sixty-eight".