107289728 has 128 divisors (see below), whose sum is σ = 269149440. Its totient is φ = 41472000.

The previous prime is 107289719. The next prime is 107289757. The reversal of 107289728 is 827982701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×107289728² = 23022171468627968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710453 + ... + 710603.

It is an arithmetic number, because the mean of its divisors is an integer number (2102730).

Almost surely, 2^107289728 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 107289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134574720).

107289728 is an abundant number, since it is smaller than the sum of its proper divisors (161859712).

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

107289728 is a wasteful number, since it uses less digits than its factorization.

107289728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 107289728 is about 10358.0754969251. The cubic root of 107289728 is about 475.1740496057.

The spelling of 107289728 in words is "one hundred seven million, two hundred eighty-nine thousand, seven hundred twenty-eight".