5285200 has 60 divisors (see below), whose sum is σ = 12942748. Its totient is φ = 2073600.

The previous prime is 5285183. The next prime is 5285201. The reversal of 5285200 is 25825.

It can be written as a sum of positive squares in 6 ways, for example, as 992016 + 4293184 = 996^2 + 2072^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5285201) 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, 29110 + ... + 29290.

Almost surely, 2^5285200 is an apocalyptic number.

5285200 is a gapful number since it is divisible by the number (50) 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 5285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471374).

5285200 is an abundant number, since it is smaller than the sum of its proper divisors (7657548).

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

5285200 is a wasteful number, since it uses less digits than its factorization.

5285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5285200 is about 2298.9562849258. The cubic root of 5285200 is about 174.1888995323.

The spelling of 5285200 in words is "five million, two hundred eighty-five thousand, two hundred".