2828883923712 has 288 divisors, whose sum is σ = 10429725519360. Its totient is φ = 734774906880.

The previous prime is 2828883923699. The next prime is 2828883923717. The reversal of 2828883923712 is 2173293888282.

2828883923712 is a `hidden beast` number, since 28 + 2 + 88 + 83 + 92 + 371 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2828883923712.

It is not an unprimeable number, because it can be changed into a prime (2828883923717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2125383 + ... + 3189830.

It is an arithmetic number, because the mean of its divisors is an integer number (36214324720).

Almost surely, 2^{2828883923712} is an apocalyptic number.

2828883923712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2828883923712 is an abundant number, since it is smaller than the sum of its proper divisors (7600841595648).

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

2828883923712 is a wasteful number, since it uses less digits than its factorization.

2828883923712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315256 (or 5315236 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 2828883923712 in words is "two trillion, eight hundred twenty-eight billion, eight hundred eighty-three million, nine hundred twenty-three thousand, seven hundred twelve".