128819232 has 72 divisors (see below), whose sum is σ = 367531164. Its totient is φ = 42799104.

The previous prime is 128819213. The next prime is 128819233. The reversal of 128819232 is 232918821.

It can be written as a sum of positive squares in 2 ways, for example, as 128051856 + 767376 = 11316^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (128819233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124188 + ... + 125220.

Almost surely, 2^128819232 is an apocalyptic number.

128819232 is a gapful number since it is divisible by the number (12) 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 128819232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183765582).

128819232 is an abundant number, since it is smaller than the sum of its proper divisors (238711932).

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

128819232 is a wasteful number, since it uses less digits than its factorization.

128819232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1471 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 128819232 is about 11349.8560343292. The cubic root of 128819232 is about 505.0413089105.

The spelling of 128819232 in words is "one hundred twenty-eight million, eight hundred nineteen thousand, two hundred thirty-two".