387328 has 36 divisors (see below), whose sum is σ = 827820. Its totient is φ = 180224.

The previous prime is 387313. The next prime is 387329. The reversal of 387328 is 823783.

387328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 200704 = 432^2 + 448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 387328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387329) by changing a digit.

387328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4308 + ... + 4396.

It is an arithmetic number, because the mean of its divisors is an integer number (22995).

2³⁸⁷³²⁸ 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 387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413910).

387328 is an abundant number, since it is smaller than the sum of its proper divisors (440492).

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

387328 is an equidigital number, since it uses as much as digits as its factorization.

387328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 387328 is about 622.3568108409. The cubic root of 387328 is about 72.8941983926.

The spelling of 387328 in words is "three hundred eighty-seven thousand, three hundred twenty-eight".