128210329 has 15 divisors (see below), whose sum is σ = 140998137. Its totient is φ = 116581608.

The previous prime is 128210323. The next prime is 128210351. The reversal of 128210329 is 923012821.

The square root of 128210329 is 11323.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 63568729 + 64641600 = 7973^2 + 8040^2 .

It is not a de Polignac number, because 128210329 - 2⁵ = 128210297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128210297 and 128210306.

It is not an unprimeable number, because it can be changed into a prime (128210323) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1913554 + ... + 1913620.

Almost surely, 2^128210329 is an apocalyptic number.

128210329 is the 11323-rd square number.

128210329 is the 5662-nd centered octagonal number.

It is an amenable number.

128210329 is a deficient number, since it is larger than the sum of its proper divisors (12787808).

128210329 is an frugal number, since it uses more digits than its factorization.

128210329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The cubic root of 128210329 is about 504.2443084153.

It can be divided in two parts, 1282 and 10329, that added together give a palindrome (11611).

The spelling of 128210329 in words is "one hundred twenty-eight million, two hundred ten thousand, three hundred twenty-nine".