1728000512 has 160 divisors (see below), whose sum is σ = 4139925504. Its totient is φ = 705024000.

The previous prime is 1728000427. The next prime is 1728000523. The reversal of 1728000512 is 2150008271.

It is a super-4 number, since 4×1728000512⁴ (a number of 38 digits) contains 4444 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1728000512 = 8³ + 1200³ = 584³ + 1152³.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11443637 + ... + 11443787.

Almost surely, 2^1728000512 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 1728000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069962752).

1728000512 is an abundant number, since it is smaller than the sum of its proper divisors (2411924992).

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

1728000512 is a wasteful number, since it uses less digits than its factorization.

1728000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 1728000512 is about 41569.2255400555. The cubic root of 1728000512 is about 1200.0001185185. Note that the first 3 decimals are identical.

Adding to 1728000512 its reverse (2150008271), we get a palindrome (3878008783).

It can be divided in two parts, 1728000 and 512, that multiplied together give a cube (884736000 = 960³).

The spelling of 1728000512 in words is "one billion, seven hundred twenty-eight million, five hundred twelve", and thus it is an aban number.