2828324044800 has 966 divisors, whose sum is σ = 10800784497278. Its totient is φ = 733835427840.

The previous prime is 2828324044751. The next prime is 2828324044801. The reversal of 2828324044800 is 84404238282.

2828324044800 is a `hidden beast` number, since 282 + 8 + 324 + 0 + 4 + 48 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 599298932736 + 2229025112064 = 774144^2 + 1492992^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828324044801) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 76441190382 + ... + 76441190418.

Almost surely, 2^{2828324044800} is an apocalyptic number.

2828324044800 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 2828324044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400392248639).

2828324044800 is an abundant number, since it is smaller than the sum of its proper divisors (7972460452478).

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

2828324044800 is an frugal number, since it uses more digits than its factorization.

2828324044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 2828324044800 in words is "two trillion, eight hundred twenty-eight billion, three hundred twenty-four million, forty-four thousand, eight hundred".