127128848 has 80 divisors (see below), whose sum is σ = 323312640. Its totient is φ = 46915200.

The previous prime is 127128811. The next prime is 127128851. The reversal of 127128848 is 848821721.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20693 + ... + 26123.

It is an arithmetic number, because the mean of its divisors is an integer number (4041408).

Almost surely, 2^127128848 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 127128848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161656320).

127128848 is an abundant number, since it is smaller than the sum of its proper divisors (196183792).

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

127128848 is a wasteful number, since it uses less digits than its factorization.

127128848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5470 counting only the distinct ones).

The product of its digits is 57344, while the sum is 41.

The square root of 127128848 is about 11275.1429259234. The cubic root of 127128848 is about 502.8225009956.

The spelling of 127128848 in words is "one hundred twenty-seven million, one hundred twenty-eight thousand, eight hundred forty-eight".