1728302284800 has 2160 divisors, whose sum is σ = 8093170285200. Its totient is φ = 348798320640.

The previous prime is 1728302284747. The next prime is 1728302284843. The reversal of 1728302284800 is 84822038271.

1728302284800 is a `hidden beast` number, since 1 + 72 + 83 + 0 + 2 + 28 + 480 + 0 = 666.

It is a super-2 number, since 2×1728302284800² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 75143577589 + ... + 75143577611.

It is an arithmetic number, because the mean of its divisors is an integer number (3746838095).

Almost surely, 2^{1728302284800} is an apocalyptic number.

1728302284800 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 1728302284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046585142600).

1728302284800 is an abundant number, since it is smaller than the sum of its proper divisors (6364868000400).

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

1728302284800 is an equidigital number, since it uses as much as digits as its factorization.

1728302284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

It can be divided in two parts, 1728302 and 284800, that added together give a palindrome (2013102).

The spelling of 1728302284800 in words is "one trillion, seven hundred twenty-eight billion, three hundred two million, two hundred eighty-four thousand, eight hundred".