1728102768 has 320 divisors, whose sum is σ = 5687635968. Its totient is φ = 440893440.

The previous prime is 1728102767. The next prime is 1728102799. The reversal of 1728102768 is 8672018271.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728102767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11006946 + ... + 11007102.

Almost surely, 2^1728102768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728102768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843817984).

1728102768 is an abundant number, since it is smaller than the sum of its proper divisors (3959533200).

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

1728102768 is a wasteful number, since it uses less digits than its factorization.

1728102768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 1728102768 is about 41570.4554702014. The cubic root of 1728102768 is about 1200.0237884173.

It can be divided in two parts, 1728102 and 768, that added together give a triangular number (1728870 = T₁₈₅₉).

The spelling of 1728102768 in words is "one billion, seven hundred twenty-eight million, one hundred two thousand, seven hundred sixty-eight".