109928 has 32 divisors (see below), whose sum is σ = 255360. Its totient is φ = 43200.

The previous prime is 109919. The next prime is 109937. The reversal of 109928 is 829901.

It is an interprime number because it is at equal distance from previous prime (109919) and next prime (109937).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 109928.

It is an unprimeable number.

109928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2¹⁰⁹⁹²⁸ 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 109928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680).

109928 is an abundant number, since it is smaller than the sum of its proper divisors (145432).

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

109928 is a wasteful number, since it uses less digits than its factorization.

109928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 109928 is about 331.5539171839. The cubic root of 109928 is about 47.9037422820.

The spelling of 109928 in words is "one hundred nine thousand, nine hundred twenty-eight".