327828480 has 176 divisors, whose sum is σ = 1198723200. Its totient is φ = 74907648.

The previous prime is 327828469. The next prime is 327828541. The reversal of 327828480 is 84828723.

It is a super-2 number, since 2×327828480² = 214943024598220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105996 + ... + 109044.

Almost surely, 2^327828480 is an apocalyptic number.

327828480 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 327828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599361600).

327828480 is an abundant number, since it is smaller than the sum of its proper divisors (870894720).

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

327828480 is a wasteful number, since it uses less digits than its factorization.

327828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 327828480 is about 18106.0343532205. The cubic root of 327828480 is about 689.5232160961.

The spelling of 327828480 in words is "three hundred twenty-seven million, eight hundred twenty-eight thousand, four hundred eighty".