2828210200 has 48 divisors (see below), whose sum is σ = 6599979360. Its totient is φ = 1127088000.

The previous prime is 2828210183. The next prime is 2828210207. The reversal of 2828210200 is 20128282.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828210207) 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, 28110 + ... + 80290.

It is an arithmetic number, because the mean of its divisors is an integer number (137499570).

Almost surely, 2^2828210200 is an apocalyptic number.

2828210200 is a gapful number since it is divisible by the number (20) 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 2828210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299989680).

2828210200 is an abundant number, since it is smaller than the sum of its proper divisors (3771769160).

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

2828210200 is a wasteful number, since it uses less digits than its factorization.

2828210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52468 (or 52459 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2828210200 is about 53180.9195106666. The cubic root of 2828210200 is about 1414.1774073244.

Adding to 2828210200 its reverse (20128282), we get a palindrome (2848338482).

The spelling of 2828210200 in words is "two billion, eight hundred twenty-eight million, two hundred ten thousand, two hundred".