2028708785400 has 768 divisors, whose sum is σ = 7610084352000. Its totient is φ = 441274521600.

The previous prime is 2028708785329. The next prime is 2028708785443. The reversal of 2028708785400 is 45878078202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 297069186 + ... + 297076014.

It is an arithmetic number, because the mean of its divisors is an integer number (9908964000).

Almost surely, 2^{2028708785400} is an apocalyptic number.

2028708785400 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 2028708785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805042176000).

2028708785400 is an abundant number, since it is smaller than the sum of its proper divisors (5581375566600).

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

2028708785400 is a wasteful number, since it uses less digits than its factorization.

2028708785400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The spelling of 2028708785400 in words is "two trillion, twenty-eight billion, seven hundred eight million, seven hundred eighty-five thousand, four hundred".