127344528 has 160 divisors (see below), whose sum is σ = 389022720. Its totient is φ = 39813120.

The previous prime is 127344527. The next prime is 127344557. The reversal of 127344528 is 825443721.

It is a happy number.

127344528 is a `hidden beast` number, since 127 + 3 + 4 + 4 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 127344492 and 127344501.

It is not an unprimeable number, because it can be changed into a prime (127344527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495376 + ... + 495632.

It is an arithmetic number, because the mean of its divisors is an integer number (2431392).

Almost surely, 2^127344528 is an apocalyptic number.

127344528 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 127344528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194511360).

127344528 is an abundant number, since it is smaller than the sum of its proper divisors (261678192).

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

127344528 is a wasteful number, since it uses less digits than its factorization.

127344528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 127344528 is about 11284.7032747875. The cubic root of 127344528 is about 503.1066942557.

The spelling of 127344528 in words is "one hundred twenty-seven million, three hundred forty-four thousand, five hundred twenty-eight".