127728 has 30 divisors (see below), whose sum is σ = 357864. Its totient is φ = 42528.

The previous prime is 127727. The next prime is 127733. The reversal of 127728 is 827721.

127728 = 47² + 48² + ... + 78².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 300 + ... + 587.

2¹²⁷⁷²⁸ is an apocalyptic number.

127728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127728 is an abundant number, since it is smaller than the sum of its proper divisors (230136).

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

127728 is a wasteful number, since it uses less digits than its factorization.

127728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 892 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 127728 is about 357.3905426841. The cubic root of 127728 is about 50.3611189169.

The spelling of 127728 in words is "one hundred twenty-seven thousand, seven hundred twenty-eight".