5833728 has 88 divisors (see below), whose sum is σ = 17358560. Its totient is φ = 1935360.

The previous prime is 5833721. The next prime is 5833739. The reversal of 5833728 is 8273385.

5833728 is a `hidden beast` number, since 583 + 3 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5⁵ + 8² + 3⁸ + 3¹⁰ + 7⁸ + 2⁶ + 8² .

Its product of digits (40320) is a multiple of the sum of its prime factors (240).

It is a junction number, because it is equal to n+sod(n) for n = 5833692 and 5833701.

It is not an unprimeable number, because it can be changed into a prime (5833721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27543 + ... + 27753.

Almost surely, 2^5833728 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 5833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679280).

5833728 is an abundant number, since it is smaller than the sum of its proper divisors (11524832).

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

5833728 is a wasteful number, since it uses less digits than its factorization.

5833728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 5833728 is about 2415.3111600786. The cubic root of 5833728 is about 180.0177760222.

It can be divided in two parts, 5833 and 728, that multiplied together give a palindrome (4246424).

The spelling of 5833728 in words is "five million, eight hundred thirty-three thousand, seven hundred twenty-eight".