329828220 has 384 divisors, whose sum is σ = 1199923200. Its totient is φ = 74649600.

The previous prime is 329828209. The next prime is 329828221. The reversal of 329828220 is 22828923.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329828221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5406990 + ... + 5407050.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^329828220 is an apocalyptic number.

329828220 is a gapful number since it is divisible by the number (30) 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 329828220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

329828220 is an abundant number, since it is smaller than the sum of its proper divisors (870094980).

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

329828220 is a wasteful number, since it uses less digits than its factorization.

329828220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 329828220 is about 18161.1734202391. The cubic root of 329828220 is about 690.9223958762.

The spelling of 329828220 in words is "three hundred twenty-nine million, eight hundred twenty-eight thousand, two hundred twenty".