328963320 has 192 divisors, whose sum is σ = 1261578240. Its totient is φ = 72748800.

The previous prime is 328963307. The next prime is 328963343. The reversal of 328963320 is 23369823.

328963320 is a `hidden beast` number, since 328 + 9 + 6 + 3 + 320 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76015 + ... + 80225.

It is an arithmetic number, because the mean of its divisors is an integer number (6570720).

Almost surely, 2^328963320 is an apocalyptic number.

328963320 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 328963320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630789120).

328963320 is an abundant number, since it is smaller than the sum of its proper divisors (932614920).

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

328963320 is a wasteful number, since it uses less digits than its factorization.

328963320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 328963320 is about 18137.3460021030. The cubic root of 328963320 is about 690.3179379142.

The spelling of 328963320 in words is "three hundred twenty-eight million, nine hundred sixty-three thousand, three hundred twenty".