1728394069248 has 648 divisors, whose sum is σ = 6370787928960. Its totient is φ = 445612769280.

The previous prime is 1728394069217. The next prime is 1728394069301. The reversal of 1728394069248 is 8429604938271.

1728394069248 is a `hidden beast` number, since 1 + 72 + 8 + 39 + 406 + 92 + 48 = 666.

It is a super-2 number, since 2×1728394069248² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170129193 + ... + 170139351.

Almost surely, 2^{1728394069248} is an apocalyptic number.

1728394069248 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 1728394069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185393964480).

1728394069248 is an abundant number, since it is smaller than the sum of its proper divisors (4642393859712).

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

1728394069248 is a wasteful number, since it uses less digits than its factorization.

1728394069248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 1728394069248 in words is "one trillion, seven hundred twenty-eight billion, three hundred ninety-four million, sixty-nine thousand, two hundred forty-eight".