128204032 has 72 divisors (see below), whose sum is σ = 284770080. Its totient is φ = 57108480.

The previous prime is 128204017. The next prime is 128204051. The reversal of 128204032 is 230402821.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 128203994 and 128204012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 148819 + ... + 149677.

It is an arithmetic number, because the mean of its divisors is an integer number (3955140).

Almost surely, 2^128204032 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 128204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142385040).

128204032 is an abundant number, since it is smaller than the sum of its proper divisors (156566048).

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

128204032 is an equidigital number, since it uses as much as digits as its factorization.

128204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 128204032 is about 11322.7219342347. The cubic root of 128204032 is about 504.2360530264.

Adding to 128204032 its reverse (230402821), we get a palindrome (358606853).

The spelling of 128204032 in words is "one hundred twenty-eight million, two hundred four thousand, thirty-two".