127301328 has 320 divisors, whose sum is σ = 471398400. Its totient is φ = 31933440.

The previous prime is 127301323. The next prime is 127301341. The reversal of 127301328 is 823103721.

It is a super-2 number, since 2×127301328² = 32411256221127168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127301323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1430308 + ... + 1430396.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^127301328 is an apocalyptic number.

127301328 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 127301328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

127301328 is an abundant number, since it is smaller than the sum of its proper divisors (344097072).

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

127301328 is a wasteful number, since it uses less digits than its factorization.

127301328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 127301328 is about 11282.7890169054. The cubic root of 127301328 is about 503.0497969874.

The spelling of 127301328 in words is "one hundred twenty-seven million, three hundred one thousand, three hundred twenty-eight".