4007728 has 20 divisors (see below), whose sum is σ = 7796128. Its totient is φ = 1995840.

The previous prime is 4007723. The next prime is 4007741. The reversal of 4007728 is 8277004.

4007728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4007696 and 4007705.

It is not an unprimeable number, because it can be changed into a prime (4007723) 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, 7138 + ... + 7678.

Almost surely, 2^4007728 is an apocalyptic number.

It is an amenable number.

4007728 is a deficient number, since it is larger than the sum of its proper divisors (3788400).

4007728 is a wasteful number, since it uses less digits than its factorization.

4007728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 4007728 is about 2001.9310677443. The cubic root of 4007728 is about 158.8422680599.

It can be divided in two parts, 400 and 7728, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 4007728 in words is "four million, seven thousand, seven hundred twenty-eight".