4079728 has 40 divisors (see below), whose sum is σ = 8557488. Its totient is φ = 1876992.

The previous prime is 4079707. The next prime is 4079729. The reversal of 4079728 is 8279704.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4079729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14275 + ... + 14557.

Almost surely, 2^4079728 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 4079728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278744).

4079728 is an abundant number, since it is smaller than the sum of its proper divisors (4477760).

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

4079728 is a wasteful number, since it uses less digits than its factorization.

4079728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 4079728 is about 2019.8336565173. The cubic root of 4079728 is about 159.7878438103.

Subtracting from 4079728 its product of nonzero digits (28224), we obtain a palindrome (4051504).

It can be divided in two parts, 40797 and 28, that multiplied together give a triangular number (1142316 = T₁₅₁₁).

The spelling of 4079728 in words is "four million, seventy-nine thousand, seven hundred twenty-eight".