128828232 has 160 divisors (see below), whose sum is σ = 399140280. Its totient is φ = 38568960.

The previous prime is 128828209. The next prime is 128828233. The reversal of 128828232 is 232828821.

It can be written as a sum of positive squares in 4 ways, for example, as 56340036 + 72488196 = 7506^2 + 8514^2 .

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 (128828233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 345198 + ... + 345570.

Almost surely, 2^128828232 is an apocalyptic number.

128828232 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 128828232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199570140).

128828232 is an abundant number, since it is smaller than the sum of its proper divisors (270312048).

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

128828232 is a wasteful number, since it uses less digits than its factorization.

128828232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 432 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 128828232 is about 11350.2525082044. The cubic root of 128828232 is about 505.0530702649.

The spelling of 128828232 in words is "one hundred twenty-eight million, eight hundred twenty-eight thousand, two hundred thirty-two".