128852768 has 48 divisors (see below), whose sum is σ = 283209696. Its totient is φ = 57200640.

The previous prime is 128852743. The next prime is 128852777. The reversal of 128852768 is 867258821.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10880 + ... + 19392.

It is an arithmetic number, because the mean of its divisors is an integer number (5900202).

Almost surely, 2^128852768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141604848).

128852768 is an abundant number, since it is smaller than the sum of its proper divisors (154356928).

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

128852768 is a wasteful number, since it uses less digits than its factorization.

128852768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577 (or 8569 counting only the distinct ones).

The product of its digits is 430080, while the sum is 47.

The square root of 128852768 is about 11351.3333137566. Note that the first 4 decimals coincide. The cubic root of 128852768 is about 505.0851315487.

The spelling of 128852768 in words is "one hundred twenty-eight million, eight hundred fifty-two thousand, seven hundred sixty-eight".