109585728 has 84 divisors (see below), whose sum is σ = 358993440. Its totient is φ = 31309056.

The previous prime is 109585727. The next prime is 109585747. The reversal of 109585728 is 827585901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109585727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9558 + ... + 17621.

Almost surely, 2^109585728 is an apocalyptic number.

109585728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109585728 is an abundant number, since it is smaller than the sum of its proper divisors (249407712).

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

109585728 is a wasteful number, since it uses less digits than its factorization.

109585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27204 (or 27191 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 109585728 is about 10468.3202090880. The cubic root of 109585728 is about 478.5397286877.

The spelling of 109585728 in words is "one hundred nine million, five hundred eighty-five thousand, seven hundred twenty-eight".