5828200 has 96 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1900800.

The previous prime is 5828189. The next prime is 5828209. The reversal of 5828200 is 28285.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5828209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32110 + ... + 32290.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 2^5828200 is an apocalyptic number.

5828200 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 5828200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

5828200 is an abundant number, since it is smaller than the sum of its proper divisors (10420760).

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

5828200 is a wasteful number, since it uses less digits than its factorization.

5828200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 5828200 is about 2414.1665228397. The cubic root of 5828200 is about 179.9608968557.

The spelling of 5828200 in words is "five million, eight hundred twenty-eight thousand, two hundred".