127127728 has 40 divisors (see below), whose sum is σ = 303154208. Its totient is φ = 50291712.

The previous prime is 127127653. The next prime is 127127729. The reversal of 127127728 is 827721721.

It is a super-2 number, since 2×127127728² = 32322918452883968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (127127729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42201 + ... + 45112.

Almost surely, 2^127127728 is an apocalyptic number.

It is an amenable number.

127127728 is an abundant number, since it is smaller than the sum of its proper divisors (176026480).

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

127127728 is a wasteful number, since it uses less digits than its factorization.

127127728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87341 (or 87335 counting only the distinct ones).

The product of its digits is 21952, while the sum is 37.

The square root of 127127728 is about 11275.0932590378. The cubic root of 127127728 is about 502.8210243760.

The spelling of 127127728 in words is "one hundred twenty-seven million, one hundred twenty-seven thousand, seven hundred twenty-eight".