1728768 has 36 divisors (see below), whose sum is σ = 4603088. Its totient is φ = 576000.

The previous prime is 1728767. The next prime is 1728773. The reversal of 1728768 is 8678271.

It is not an unprimeable number, because it can be changed into a prime (1728761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 358 + ... + 1893.

2^1728768 is an apocalyptic number.

It is an amenable number.

1728768 is an abundant number, since it is smaller than the sum of its proper divisors (2874320).

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

1728768 is an equidigital number, since it uses as much as digits as its factorization.

1728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2256 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 1728768 is about 1314.8262242593. The cubic root of 1728768 is about 120.0177751447.

It can be divided in two parts, 1728 and 768, that multiplied together give a square (1327104 = 1152²).

The spelling of 1728768 in words is "one million, seven hundred twenty-eight thousand, seven hundred sixty-eight".