127328832 has 84 divisors (see below), whose sum is σ = 366522000. Its totient is φ = 42262272.

The previous prime is 127328807. The next prime is 127328833. The reversal of 127328832 is 238823721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (127328833) 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, 254919 + ... + 255417.

Almost surely, 2^127328832 is an apocalyptic number.

127328832 is a gapful number since it is divisible by the number (12) 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 127328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183261000).

127328832 is an abundant number, since it is smaller than the sum of its proper divisors (239193168).

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

127328832 is a wasteful number, since it uses less digits than its factorization.

127328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 947 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 127328832 is about 11284.0077986503. The cubic root of 127328832 is about 503.0860230701.

The spelling of 127328832 in words is "one hundred twenty-seven million, three hundred twenty-eight thousand, eight hundred thirty-two".