2828908800 has 648 divisors, whose sum is σ = 11209345056. Its totient is φ = 703365120.

The previous prime is 2828908799. The next prime is 2828908807. The reversal of 2828908800 is 88098282.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2828908807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26438347 + ... + 26438453.

It is an arithmetic number, because the mean of its divisors is an integer number (17298372).

Almost surely, 2^2828908800 is an apocalyptic number.

2828908800 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 2828908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604672528).

2828908800 is an abundant number, since it is smaller than the sum of its proper divisors (8380436256).

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

2828908800 is a wasteful number, since it uses less digits than its factorization.

2828908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 2828908800 is about 53187.4872502922. The cubic root of 2828908800 is about 1414.2938370254.

The spelling of 2828908800 in words is "two billion, eight hundred twenty-eight million, nine hundred eight thousand, eight hundred".