1728823090800 has 960 divisors, whose sum is σ = 6445603454976. Its totient is φ = 392922316800.

The previous prime is 1728823090777. The next prime is 1728823090873. The reversal of 1728823090800 is 80903288271.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1728823090800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 948338689 + ... + 948340511.

Almost surely, 2^{1728823090800} is an apocalyptic number.

1728823090800 is a gapful number since it is divisible by the number (10) 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 1728823090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222801727488).

1728823090800 is an abundant number, since it is smaller than the sum of its proper divisors (4716780364176).

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

1728823090800 is a wasteful number, since it uses less digits than its factorization.

1728823090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 1728823090800 in words is "one trillion, seven hundred twenty-eight billion, eight hundred twenty-three million, ninety thousand, eight hundred".