327628080 has 480 divisors, whose sum is σ = 1316165760. Its totient is φ = 72253440.

The previous prime is 327628069. The next prime is 327628111. The reversal of 327628080 is 80826723.

It is a happy number.

327628080 is a `hidden beast` number, since 3 + 27 + 628 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4614445 + ... + 4614515.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012).

Almost surely, 2^327628080 is an apocalyptic number.

327628080 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 327628080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658082880).

327628080 is an abundant number, since it is smaller than the sum of its proper divisors (988537680).

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

327628080 is a wasteful number, since it uses less digits than its factorization.

327628080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 327628080 is about 18100.4994406232. The cubic root of 327628080 is about 689.3826866964.

The spelling of 327628080 in words is "three hundred twenty-seven million, six hundred twenty-eight thousand, eighty".