128833344 has 168 divisors, whose sum is σ = 399409920. Its totient is φ = 39555072.

The previous prime is 128833321. The next prime is 128833349. The reversal of 128833344 is 443338821.

It is a happy number.

128833344 is a `hidden beast` number, since 1 + 288 + 33 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 128833299 and 128833308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128833349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577617 + ... + 577839.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^128833344 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 128833344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

128833344 is an abundant number, since it is smaller than the sum of its proper divisors (270576576).

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

128833344 is a wasteful number, since it uses less digits than its factorization.

128833344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 128833344 is about 11350.4776991984. The cubic root of 128833344 is about 505.0597504703.

The spelling of 128833344 in words is "one hundred twenty-eight million, eight hundred thirty-three thousand, three hundred forty-four".