128648 has 16 divisors (see below), whose sum is σ = 259980. Its totient is φ = 59328.

The previous prime is 128629. The next prime is 128657. The reversal of 128648 is 846821.

It can be written as a sum of positive squares in 2 ways, for example, as 128164 + 484 = 358^2 + 22^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 128648.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 128648.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 515 + ... + 722.

2¹²⁸⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

128648 is an abundant number, since it is smaller than the sum of its proper divisors (131332).

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

128648 is a wasteful number, since it uses less digits than its factorization.

128648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1252 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 128648 is about 358.6753406634. The cubic root of 128648 is about 50.4817435561.

It can be divided in two parts, 128 and 648, that multiplied together give a square (82944 = 288²).

The spelling of 128648 in words is "one hundred twenty-eight thousand, six hundred forty-eight".