329628852 has 120 divisors (see below), whose sum is σ = 995258880. Its totient is φ = 93182400.

The previous prime is 329628851. The next prime is 329628863. The reversal of 329628852 is 258826923.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 329628798 and 329628807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329628851) 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, 228349 + ... + 229787.

It is an arithmetic number, because the mean of its divisors is an integer number (8293824).

Almost surely, 2^329628852 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 329628852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497629440).

329628852 is an abundant number, since it is smaller than the sum of its proper divisors (665630028).

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

329628852 is a wasteful number, since it uses less digits than its factorization.

329628852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1552 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 329628852 is about 18155.6837381576. The cubic root of 329628852 is about 690.7831561431.

It can be divided in two parts, 32962 and 8852, that added together give a palindrome (41814).

The spelling of 329628852 in words is "three hundred twenty-nine million, six hundred twenty-eight thousand, eight hundred fifty-two".