127288128 has 84 divisors (see below), whose sum is σ = 370250720. Its totient is φ = 38565120.

The previous prime is 127288123. The next prime is 127288159. The reversal of 127288128 is 821882721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127288123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20493 + ... + 25971.

Almost surely, 2^127288128 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 127288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185125360).

127288128 is an abundant number, since it is smaller than the sum of its proper divisors (242962592).

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

127288128 is a wasteful number, since it uses less digits than its factorization.

127288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5495 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 127288128 is about 11282.2040399915. The cubic root of 127288128 is about 503.0324091435.

The spelling of 127288128 in words is "one hundred twenty-seven million, two hundred eighty-eight thousand, one hundred twenty-eight".