127343328 has 192 divisors, whose sum is σ = 412812288. Its totient is φ = 33546240.

The previous prime is 127343291. The next prime is 127343371. The reversal of 127343328 is 823343721.

It is a super-2 number, since 2×127343328² = 32432646372231168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 811026 + ... + 811182.

It is an arithmetic number, because the mean of its divisors is an integer number (2150064).

Almost surely, 2^127343328 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 127343328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206406144).

127343328 is an abundant number, since it is smaller than the sum of its proper divisors (285468960).

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

127343328 is a wasteful number, since it uses less digits than its factorization.

127343328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 127343328 is about 11284.6501053422. The cubic root of 127343328 is about 503.1051139498.

The spelling of 127343328 in words is "one hundred twenty-seven million, three hundred forty-three thousand, three hundred twenty-eight".