128948 has 6 divisors (see below), whose sum is σ = 225666. Its totient is φ = 64472.

The previous prime is 128941. The next prime is 128951. The reversal of 128948 is 849821.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 128164 + 784 = 358^2 + 28^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128941) by changing a digit.

128948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16115 + ... + 16122.

It is an arithmetic number, because the mean of its divisors is an integer number (37611).

2¹²⁸⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

128948 is a deficient number, since it is larger than the sum of its proper divisors (96718).

128948 is a wasteful number, since it uses less digits than its factorization.

128948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32241 (or 32239 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 128948 is about 359.0933026387. The cubic root of 128948 is about 50.5209533021.

The spelling of 128948 in words is "one hundred twenty-eight thousand, nine hundred forty-eight".