127728810 has 144 divisors (see below), whose sum is σ = 376078248. Its totient is φ = 30032640.

The previous prime is 127728761. The next prime is 127728823. The reversal of 127728810 is 18827721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 97357689 + 30371121 = 9867^2 + 5511^2 .

It is a super-3 number, since 3×127728810³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 402772 + ... + 403088.

Almost surely, 2^127728810 is an apocalyptic number.

127728810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127728810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188039124).

127728810 is an abundant number, since it is smaller than the sum of its proper divisors (248349438).

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

127728810 is a wasteful number, since it uses less digits than its factorization.

127728810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 127728810 is about 11301.7171261716. The cubic root of 127728810 is about 503.6122537339.

The spelling of 127728810 in words is "one hundred twenty-seven million, seven hundred twenty-eight thousand, eight hundred ten".