2828269872000 has 2560 divisors, whose sum is σ = 11877419473920. Its totient is φ = 663552000000.

The previous prime is 2828269871989. The next prime is 2828269872013. The reversal of 2828269872000 is 2789628282.

2828269872000 is a `hidden beast` number, since 28 + 282 + 69 + 87 + 200 + 0 = 666.

It is a super-2 number, since 2×2828269872000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 28002671950 + ... + 28002672050.

It is an arithmetic number, because the mean of its divisors is an integer number (4639616982).

Almost surely, 2^{2828269872000} is an apocalyptic number.

2828269872000 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 2828269872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938709736960).

2828269872000 is an abundant number, since it is smaller than the sum of its proper divisors (9049149601920).

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

2828269872000 is a wasteful number, since it uses less digits than its factorization.

2828269872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2828269872000 in words is "two trillion, eight hundred twenty-eight billion, two hundred sixty-nine million, eight hundred seventy-two thousand".