1728324864 has 360 divisors, whose sum is σ = 6034705600. Its totient is φ = 493807104.

The previous prime is 1728324863. The next prime is 1728324877. The reversal of 1728324864 is 4684238271.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (516096) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728324863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246903549 + ... + 246903555.

Almost surely, 2^1728324864 is an apocalyptic number.

1728324864 is a gapful number since it is divisible by the number (14) 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 1728324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017352800).

1728324864 is an abundant number, since it is smaller than the sum of its proper divisors (4306380736).

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

1728324864 is an frugal number, since it uses more digits than its factorization.

1728324864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1728324864 is about 41573.1267046394. The cubic root of 1728324864 is about 1200.0751952880.

The spelling of 1728324864 in words is "one billion, seven hundred twenty-eight million, three hundred twenty-four thousand, eight hundred sixty-four".