5228820 has 96 divisors (see below), whose sum is σ = 17015040. Its totient is φ = 1330560.

The previous prime is 5228813. The next prime is 5228827. The reversal of 5228820 is 288225.

5228820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5228813) and next prime (5228827).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5228827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12210 + ... + 12630.

It is an arithmetic number, because the mean of its divisors is an integer number (177240).

Almost surely, 2^5228820 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 5228820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507520).

5228820 is an abundant number, since it is smaller than the sum of its proper divisors (11786220).

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

5228820 is a wasteful number, since it uses less digits than its factorization.

5228820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5228820 is about 2286.6613216653. The cubic root of 5228820 is about 173.5672958277.

The spelling of 5228820 in words is "five million, two hundred twenty-eight thousand, eight hundred twenty".