387328000 has 192 divisors, whose sum is σ = 1034888400. Its totient is φ = 144179200.

The previous prime is 387327971. The next prime is 387328003. The reversal of 387328000 is 823783.

It can be written as a sum of positive squares in 8 ways, for example, as 10036224 + 377291776 = 3168^2 + 19424^2 .

It is not an unprimeable number, because it can be changed into a prime (387328003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4351956 + ... + 4352044.

Almost surely, 2^387328000 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 387328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517444200).

387328000 is an abundant number, since it is smaller than the sum of its proper divisors (647560400).

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

387328000 is an equidigital number, since it uses as much as digits as its factorization.

387328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

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

The square root of 387328000 is about 19680.6503957567. The cubic root of 387328000 is about 728.9419839261.

The spelling of 387328000 in words is "three hundred eighty-seven million, three hundred twenty-eight thousand".