4033728 has 84 divisors (see below), whose sum is σ = 11887200. Its totient is φ = 1307136.

The previous prime is 4033727. The next prime is 4033741. The reversal of 4033728 is 8273304.

It is not an unprimeable number, because it can be changed into a prime (4033721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26998 + ... + 27146.

Almost surely, 2^4033728 is an apocalyptic number.

4033728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943600).

4033728 is an abundant number, since it is smaller than the sum of its proper divisors (7853472).

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

4033728 is a wasteful number, since it uses less digits than its factorization.

4033728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4033728 is about 2008.4142998893. The cubic root of 4033728 is about 159.1850225382.

It can be divided in two parts, 4033 and 728, that added together give a square (4761 = 69²).

The spelling of 4033728 in words is "four million, thirty-three thousand, seven hundred twenty-eight".