1728385680 has 160 divisors (see below), whose sum is σ = 6139321344. Its totient is φ = 394034688.

The previous prime is 1728385663. The next prime is 1728385753. The reversal of 1728385680 is 865838271.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 783459 + ... + 785661.

Almost surely, 2^1728385680 is an apocalyptic number.

1728385680 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 1728385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069660672).

1728385680 is an abundant number, since it is smaller than the sum of its proper divisors (4410935664).

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

1728385680 is a wasteful number, since it uses less digits than its factorization.

1728385680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 1728385680 is about 41573.8581322446. The cubic root of 1728385680 is about 1200.0892711365.

The spelling of 1728385680 in words is "one billion, seven hundred twenty-eight million, three hundred eighty-five thousand, six hundred eighty".