2828500100 has 72 divisors (see below), whose sum is σ = 6234288480. Its totient is φ = 1113742080.

The previous prime is 2828500099. The next prime is 2828500117. The reversal of 2828500100 is 10058282.

It is a self number, because there is not a number n which added to its sum of digits gives 2828500100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2518139 + ... + 2519261.

It is an arithmetic number, because the mean of its divisors is an integer number (86587340).

Almost surely, 2^2828500100 is an apocalyptic number.

2828500100 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 2828500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117144240).

2828500100 is an abundant number, since it is smaller than the sum of its proper divisors (3405788380).

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

2828500100 is a wasteful number, since it uses less digits than its factorization.

2828500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 2828500100 is about 53183.6450424376. The cubic root of 2828500100 is about 1414.2257248108.

Adding to 2828500100 its reverse (10058282), we get a palindrome (2838558382).

The spelling of 2828500100 in words is "two billion, eight hundred twenty-eight million, five hundred thousand, one hundred".