107891728 has 60 divisors (see below), whose sum is σ = 256002960. Its totient is φ = 43799616.

The previous prime is 107891711. The next prime is 107891753. The reversal of 107891728 is 827198701.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11275 + ... + 18517.

It is an arithmetic number, because the mean of its divisors is an integer number (4266716).

Almost surely, 2^107891728 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 107891728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128001480).

107891728 is an abundant number, since it is smaller than the sum of its proper divisors (148111232).

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

107891728 is a wasteful number, since it uses less digits than its factorization.

107891728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 43.

The square root of 107891728 is about 10387.0943001400. The cubic root of 107891728 is about 476.0611224855.

The spelling of 107891728 in words is "one hundred seven million, eight hundred ninety-one thousand, seven hundred twenty-eight".