5285820 has 48 divisors (see below), whose sum is σ = 15206688. Its totient is φ = 1370880.

The previous prime is 5285807. The next prime is 5285881. The reversal of 5285820 is 285825.

5285820 is digitally balanced in base 4, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (316806).

Almost surely, 2^5285820 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 5285820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603344).

5285820 is an abundant number, since it is smaller than the sum of its proper divisors (9920868).

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

5285820 is a wasteful number, since it uses less digits than its factorization.

5285820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5285820 is about 2299.0911247708. The cubic root of 5285820 is about 174.1957105577.

It can be divided in two parts, 5285 and 820, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5285820 in words is "five million, two hundred eighty-five thousand, eight hundred twenty".