2728719100800 has 3072 divisors, whose sum is σ = 13078477209600. Its totient is φ = 539136000000.

The previous prime is 2728719100741. The next prime is 2728719100859. The reversal of 2728719100800 is 80019178272.

It is an interprime number because it is at equal distance from previous prime (2728719100741) and next prime (2728719100859).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20829916735 + ... + 20829916865.

It is an arithmetic number, because the mean of its divisors is an integer number (4257316800).

Almost surely, 2^{2728719100800} is an apocalyptic number.

2728719100800 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 2728719100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539238604800).

2728719100800 is an abundant number, since it is smaller than the sum of its proper divisors (10349758108800).

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

2728719100800 is a wasteful number, since it uses less digits than its factorization.

2728719100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 2728719100800 in words is "two trillion, seven hundred twenty-eight billion, seven hundred nineteen million, one hundred thousand, eight hundred".