127057728 has 224 divisors, whose sum is σ = 417844224. Its totient is φ = 33251328.

The previous prime is 127057717. The next prime is 127057751. The reversal of 127057728 is 827750721.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×127057728² = 32287332489043968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530775 + ... + 1530857.

It is an arithmetic number, because the mean of its divisors is an integer number (1865376).

Almost surely, 2^127057728 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 127057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208922112).

127057728 is an abundant number, since it is smaller than the sum of its proper divisors (290786496).

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

127057728 is a wasteful number, since it uses less digits than its factorization.

127057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 127057728 is about 11271.9886444230. The cubic root of 127057728 is about 502.7287184344.

The spelling of 127057728 in words is "one hundred twenty-seven million, fifty-seven thousand, seven hundred twenty-eight".