4033828 has 24 divisors (see below), whose sum is σ = 7546392. Its totient is φ = 1880064.

The previous prime is 4033817. The next prime is 4033829. The reversal of 4033828 is 8283304.

4033828 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 4 ways, for example, as 506944 + 3526884 = 712^2 + 1878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4033796 and 4033805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033829) 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 7 ways as a sum of consecutive naturals, for example, 9100 + ... + 9532.

It is an arithmetic number, because the mean of its divisors is an integer number (314433).

Almost surely, 2^4033828 is an apocalyptic number.

It is an amenable number.

4033828 is a deficient number, since it is larger than the sum of its proper divisors (3512564).

4033828 is a wasteful number, since it uses less digits than its factorization.

4033828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4033828 is about 2008.4391949970. The cubic root of 4033828 is about 159.1863379773.

The spelling of 4033828 in words is "four million, thirty-three thousand, eight hundred twenty-eight".