127748448 has 96 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 42311808.

The previous prime is 127748447. The next prime is 127748459. The reversal of 127748448 is 844847721.

127748448 is a `hidden beast` number, since 127 + 7 + 484 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127748441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171565 + ... + 172307.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2^127748448 is an apocalyptic number.

127748448 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 127748448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

127748448 is an abundant number, since it is smaller than the sum of its proper divisors (247227552).

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

127748448 is a wasteful number, since it uses less digits than its factorization.

127748448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 947 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 127748448 is about 11302.5858988109. The cubic root of 127748448 is about 503.6380621390.

The spelling of 127748448 in words is "one hundred twenty-seven million, seven hundred forty-eight thousand, four hundred forty-eight".