328808220 has 192 divisors, whose sum is σ = 1063310976. Its totient is φ = 75202560.

The previous prime is 328808213. The next prime is 328808257. The reversal of 328808220 is 22808823.

It is a super-2 number, since 2×328808220² = 216229691079136800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1816530 + ... + 1816710.

It is an arithmetic number, because the mean of its divisors is an integer number (5538078).

Almost surely, 2^328808220 is an apocalyptic number.

328808220 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 328808220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531655488).

328808220 is an abundant number, since it is smaller than the sum of its proper divisors (734502756).

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

328808220 is a wasteful number, since it uses less digits than its factorization.

328808220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 328808220 is about 18133.0697897515. The cubic root of 328808220 is about 690.2094302307.

It can be divided in two parts, 32880 and 8220, that multiplied together give a square (270273600 = 16440²).

The spelling of 328808220 in words is "three hundred twenty-eight million, eight hundred eight thousand, two hundred twenty".