2828482800 has 480 divisors, whose sum is σ = 10880303616. Its totient is φ = 619008000.

The previous prime is 2828482751. The next prime is 2828482807. The reversal of 2828482800 is 82848282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828482807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9094645 + ... + 9094955.

Almost surely, 2^2828482800 is an apocalyptic number.

2828482800 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 2828482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440151808).

2828482800 is an abundant number, since it is smaller than the sum of its proper divisors (8051820816).

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

2828482800 is a wasteful number, since it uses less digits than its factorization.

2828482800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 2828482800 is about 53183.4823982033. The cubic root of 2828482800 is about 1414.2228415212. Note that the first 3 decimals are identical.

It can be divided in two parts, 2828482 and 800, that added together give a palindrome (2829282).

The spelling of 2828482800 in words is "two billion, eight hundred twenty-eight million, four hundred eighty-two thousand, eight hundred".