128384448 has 112 divisors (see below), whose sum is σ = 356396544. Its totient is φ = 40744960.

The previous prime is 128384441. The next prime is 128384507. The reversal of 128384448 is 844483821.

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 (128384441) 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, 369811 + ... + 370157.

It is an arithmetic number, because the mean of its divisors is an integer number (3182112).

Almost surely, 2^128384448 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 128384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178198272).

128384448 is an abundant number, since it is smaller than the sum of its proper divisors (228012096).

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

128384448 is a wasteful number, since it uses less digits than its factorization.

128384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 128384448 is about 11330.6861222081. The cubic root of 128384448 is about 504.4724720372.

The spelling of 128384448 in words is "one hundred twenty-eight million, three hundred eighty-four thousand, four hundred forty-eight".