127538928 has 80 divisors (see below), whose sum is σ = 399379200. Its totient is φ = 38646720.

The previous prime is 127538921. The next prime is 127538951. The reversal of 127538928 is 829835721.

It is a happy number.

127538928 is a `hidden beast` number, since 1 + 27 + 538 + 92 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127538921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8668 + ... + 18171.

It is an arithmetic number, because the mean of its divisors is an integer number (4992240).

Almost surely, 2^127538928 is an apocalyptic number.

127538928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127538928 is an abundant number, since it is smaller than the sum of its proper divisors (271840272).

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

127538928 is a wasteful number, since it uses less digits than its factorization.

127538928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26867 (or 26855 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 127538928 is about 11293.3134198959. The cubic root of 127538928 is about 503.3625728473.

The spelling of 127538928 in words is "one hundred twenty-seven million, five hundred thirty-eight thousand, nine hundred twenty-eight".