127142928 has 90 divisors (see below), whose sum is σ = 391165502. Its totient is φ = 38522880.

The previous prime is 127142921. The next prime is 127142929. The reversal of 127142928 is 829241721.

It can be written as a sum of positive squares in only one way, i.e., 100641024 + 26501904 = 10032^2 + 5148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 127142892 and 127142901.

It is not an unprimeable number, because it can be changed into a prime (127142921) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13776 + ... + 21072.

Almost surely, 2^127142928 is an apocalyptic number.

127142928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127142928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195582751).

127142928 is an abundant number, since it is smaller than the sum of its proper divisors (264022574).

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

127142928 is a wasteful number, since it uses less digits than its factorization.

127142928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333 (or 7313 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 127142928 is about 11275.7672909652. The cubic root of 127142928 is about 502.8410634739.

The spelling of 127142928 in words is "one hundred twenty-seven million, one hundred forty-two thousand, nine hundred twenty-eight".