128848224 has 48 divisors (see below), whose sum is σ = 339761520. Its totient is φ = 42754560.

The previous prime is 128848217. The next prime is 128848229. The reversal of 128848224 is 422848821.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128848229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19054 + ... + 24914.

It is an arithmetic number, because the mean of its divisors is an integer number (7078365).

Almost surely, 2^128848224 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 128848224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169880760).

128848224 is an abundant number, since it is smaller than the sum of its proper divisors (210913296).

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

128848224 is a wasteful number, since it uses less digits than its factorization.

128848224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6095 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 128848224 is about 11351.1331592930. The cubic root of 128848224 is about 505.0791941938.

The spelling of 128848224 in words is "one hundred twenty-eight million, eight hundred forty-eight thousand, two hundred twenty-four".