327891648 has 224 divisors, whose sum is σ = 1067433984. Its totient is φ = 86704128.

The previous prime is 327891643. The next prime is 327891667. The reversal of 327891648 is 846198723.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 327891597 and 327891606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327891643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2581761 + ... + 2581887.

Almost surely, 2^327891648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533716992).

327891648 is an abundant number, since it is smaller than the sum of its proper divisors (739542336).

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

327891648 is a wasteful number, since it uses less digits than its factorization.

327891648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 327891648 is about 18107.7786600124. The cubic root of 327891648 is about 689.5675004378.

The spelling of 327891648 in words is "three hundred twenty-seven million, eight hundred ninety-one thousand, six hundred forty-eight".