328681920 has 224 divisors, whose sum is σ = 1214323200. Its totient is φ = 73764864.

The previous prime is 328681877. The next prime is 328681921. The reversal of 328681920 is 29186823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328681921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396066 + ... + 396894.

Almost surely, 2^328681920 is an apocalyptic number.

328681920 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 328681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607161600).

328681920 is an abundant number, since it is smaller than the sum of its proper divisors (885641280).

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

328681920 is a wasteful number, since it uses less digits than its factorization.

328681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 328681920 is about 18129.5868678798. The cubic root of 328681920 is about 690.1210457666.

The spelling of 328681920 in words is "three hundred twenty-eight million, six hundred eighty-one thousand, nine hundred twenty".