128348928 has 144 divisors (see below), whose sum is σ = 392448000. Its totient is φ = 41333760.

The previous prime is 128348923. The next prime is 128348939. The reversal of 128348928 is 829843821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128348921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213973 + ... + 214571.

Almost surely, 2^128348928 is an apocalyptic number.

128348928 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 128348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196224000).

128348928 is an abundant number, since it is smaller than the sum of its proper divisors (264099072).

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

128348928 is an equidigital number, since it uses as much as digits as its factorization.

128348928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 635 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 128348928 is about 11329.1185888400. The cubic root of 128348928 is about 504.4259437771.

The spelling of 128348928 in words is "one hundred twenty-eight million, three hundred forty-eight thousand, nine hundred twenty-eight".