328186080 has 288 divisors, whose sum is σ = 1215212544. Its totient is φ = 83483136.

The previous prime is 328186073. The next prime is 328186081. The reversal of 328186080 is 80681823.

328186080 is a `hidden beast` number, since 32 + 8 + 18 + 608 + 0 = 666.

328186080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×328186080² = 215412206211532800, which contains 22 as substring.

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 (328186081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894057 + ... + 894423.

It is an arithmetic number, because the mean of its divisors is an integer number (4219488).

Almost surely, 2^328186080 is an apocalyptic number.

328186080 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 328186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607606272).

328186080 is an abundant number, since it is smaller than the sum of its proper divisors (887026464).

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

328186080 is a wasteful number, since it uses less digits than its factorization.

328186080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 328186080 is about 18115.9068224585. The cubic root of 328186080 is about 689.7738389228.

The spelling of 328186080 in words is "three hundred twenty-eight million, one hundred eighty-six thousand, eighty".