128583648 has 72 divisors (see below), whose sum is σ = 387183888. Its totient is φ = 40338432.

The previous prime is 128583647. The next prime is 128583661. The reversal of 128583648 is 846385821.

128583648 is a `hidden beast` number, since 1 + 2 + 8 + 583 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128583641) 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 11 ways as a sum of consecutive naturals, for example, 8236 + ... + 18027.

It is an arithmetic number, because the mean of its divisors is an integer number (5377554).

Almost surely, 2^128583648 is an apocalyptic number.

128583648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128583648 is an abundant number, since it is smaller than the sum of its proper divisors (258600240).

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

128583648 is a wasteful number, since it uses less digits than its factorization.

128583648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26296 (or 26285 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 128583648 is about 11339.4730036276. The cubic root of 128583648 is about 504.7332486583.

The spelling of 128583648 in words is "one hundred twenty-eight million, five hundred eighty-three thousand, six hundred forty-eight".