2028871963800 has 1296 divisors, whose sum is σ = 8000779714200. Its totient is φ = 456861081600.

The previous prime is 2028871963733. The next prime is 2028871963801. The reversal of 2028871963800 is 83691788202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028871963801) 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 323 ways as a sum of consecutive naturals, for example, 22796314156 + ... + 22796314244.

Almost surely, 2^{2028871963800} is an apocalyptic number.

2028871963800 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 2028871963800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000389857100).

2028871963800 is an abundant number, since it is smaller than the sum of its proper divisors (5971907750400).

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

2028871963800 is a wasteful number, since it uses less digits than its factorization.

2028871963800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2028871963800 in words is "two trillion, twenty-eight billion, eight hundred seventy-one million, nine hundred sixty-three thousand, eight hundred".