5200728 has 64 divisors (see below), whose sum is σ = 14246400. Its totient is φ = 1572480.

The previous prime is 5200711. The next prime is 5200729. The reversal of 5200728 is 8270025.

5200728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5200698 and 5200707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24543 + ... + 24753.

It is an arithmetic number, because the mean of its divisors is an integer number (222600).

Almost surely, 2^5200728 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 5200728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7123200).

5200728 is an abundant number, since it is smaller than the sum of its proper divisors (9045672).

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

5200728 is a wasteful number, since it uses less digits than its factorization.

5200728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5200728 is about 2280.5104691713. The cubic root of 5200728 is about 173.2559055892.

The spelling of 5200728 in words is "five million, two hundred thousand, seven hundred twenty-eight".