127261728 has 216 divisors, whose sum is σ = 422407440. Its totient is φ = 36034560.

The previous prime is 127261699. The next prime is 127261733. The reversal of 127261728 is 827162721.

127261728 is a `hidden beast` number, since 12 + 7 + 2 + 617 + 28 = 666.

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 = 127261692 and 127261701.

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 35 ways as a sum of consecutive naturals, for example, 915483 + ... + 915621.

It is an arithmetic number, because the mean of its divisors is an integer number (1955590).

Almost surely, 2^127261728 is an apocalyptic number.

127261728 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 127261728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211203720).

127261728 is an abundant number, since it is smaller than the sum of its proper divisors (295145712).

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

127261728 is a wasteful number, since it uses less digits than its factorization.

127261728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 127261728 is about 11281.0339951620. The cubic root of 127261728 is about 502.9976298492.

The spelling of 127261728 in words is "one hundred twenty-seven million, two hundred sixty-one thousand, seven hundred twenty-eight".