327728640 has 160 divisors (see below), whose sum is σ = 1058682240. Its totient is φ = 86482944.

The previous prime is 327728581. The next prime is 327728641. The reversal of 327728640 is 46827723.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×327728640² = 214812122952499200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327728641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067367 + ... + 1067673.

It is an arithmetic number, because the mean of its divisors is an integer number (6616764).

Almost surely, 2^327728640 is an apocalyptic number.

327728640 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 327728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529341120).

327728640 is an abundant number, since it is smaller than the sum of its proper divisors (730953600).

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

327728640 is a wasteful number, since it uses less digits than its factorization.

327728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 327728640 is about 18103.2770514070. The cubic root of 327728640 is about 689.4532110051.

The spelling of 327728640 in words is "three hundred twenty-seven million, seven hundred twenty-eight thousand, six hundred forty".