127928320 has 144 divisors (see below), whose sum is σ = 341572140. Its totient is φ = 45711360.

The previous prime is 127928303. The next prime is 127928321. The reversal of 127928320 is 23829721.

It can be written as a sum of positive squares in 2 ways, for example, as 119071744 + 8856576 = 10912^2 + 2976^2 .

It is not an unprimeable number, because it can be changed into a prime (127928321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4126705 + ... + 4126735.

Almost surely, 2^127928320 is an apocalyptic number.

127928320 is a gapful number since it is divisible by the number (10) 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 127928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170786070).

127928320 is an abundant number, since it is smaller than the sum of its proper divisors (213643820).

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

127928320 is an equidigital number, since it uses as much as digits as its factorization.

127928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 127928320 is about 11310.5402169834. The cubic root of 127928320 is about 503.8743282869.

It can be divided in two parts, 12792 and 8320, that added together give a palindrome (21112).

The spelling of 127928320 in words is "one hundred twenty-seven million, nine hundred twenty-eight thousand, three hundred twenty".