4116728 has 64 divisors (see below), whose sum is σ = 9918720. Its totient is φ = 1555200.

The previous prime is 4116727. The next prime is 4116743. The reversal of 4116728 is 8276114.

Its product of digits (2688) is a multiple of the sum of its prime divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4116728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25175 + ... + 25337.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

Almost surely, 2^4116728 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 4116728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959360).

4116728 is an abundant number, since it is smaller than the sum of its proper divisors (5801992).

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

4116728 is a wasteful number, since it uses less digits than its factorization.

4116728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 4116728 is about 2028.9721535792. The cubic root of 4116728 is about 160.2694418355.

The spelling of 4116728 in words is "four million, one hundred sixteen thousand, seven hundred twenty-eight".