327628000 has 96 divisors (see below), whose sum is σ = 920058048. Its totient is φ = 112320000.

The previous prime is 327627997. The next prime is 327628043. The reversal of 327628000 is 826723.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 327628000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22150 + ... + 33850.

It is an arithmetic number, because the mean of its divisors is an integer number (9583938).

Almost surely, 2^327628000 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 327628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460029024).

327628000 is an abundant number, since it is smaller than the sum of its proper divisors (592430048).

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

327628000 is a wasteful number, since it uses less digits than its factorization.

327628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733 (or 11715 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 327628000 is about 18100.4972307393. The cubic root of 327628000 is about 689.3826305854.

The spelling of 327628000 in words is "three hundred twenty-seven million, six hundred twenty-eight thousand".