4157728 has 24 divisors (see below), whose sum is σ = 8387820. Its totient is φ = 2027520.

The previous prime is 4157723. The next prime is 4157729. The reversal of 4157728 is 8277514.

It is a happy number.

4157728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 44944 = 2028^2 + 212^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4157693 and 4157702.

It is not an unprimeable number, because it can be changed into a prime (4157723) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 273 + ... + 2896.

Almost surely, 2^4157728 is an apocalyptic number.

It is an amenable number.

4157728 is an abundant number, since it is smaller than the sum of its proper divisors (4230092).

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

4157728 is a wasteful number, since it uses less digits than its factorization.

4157728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3212 counting only the distinct ones).

The product of its digits is 15680, while the sum is 34.

The square root of 4157728 is about 2039.0507595447. The cubic root of 4157728 is about 160.7997458805.

The spelling of 4157728 in words is "four million, one hundred fifty-seven thousand, seven hundred twenty-eight".