1728538750368 has 288 divisors, whose sum is σ = 5138650782720. Its totient is φ = 550518312960.

The previous prime is 1728538750343. The next prime is 1728538750423. The reversal of 1728538750368 is 8630578358271.

1728538750368 is a `hidden beast` number, since 1 + 7 + 28 + 538 + 75 + 0 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781082830 + ... + 781085042.

It is an arithmetic number, because the mean of its divisors is an integer number (17842537440).

Almost surely, 2^{1728538750368} is an apocalyptic number.

1728538750368 is a gapful number since it is divisible by the number (18) 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 1728538750368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569325391360).

1728538750368 is an abundant number, since it is smaller than the sum of its proper divisors (3410112032352).

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

1728538750368 is a wasteful number, since it uses less digits than its factorization.

1728538750368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 1728538750368 in words is "one trillion, seven hundred twenty-eight billion, five hundred thirty-eight million, seven hundred fifty thousand, three hundred sixty-eight".