387128160 has 168 divisors, whose sum is σ = 1371671280. Its totient is φ = 103203072.

The previous prime is 387128153. The next prime is 387128177. The reversal of 387128160 is 61821783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

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 27 ways as a sum of consecutive naturals, for example, 114981 + ... + 118299.

It is an arithmetic number, because the mean of its divisors is an integer number (8164710).

Almost surely, 2^387128160 is an apocalyptic number.

387128160 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 387128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685835640).

387128160 is an abundant number, since it is smaller than the sum of its proper divisors (984543120).

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

387128160 is an equidigital number, since it uses as much as digits as its factorization.

387128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 387128160 is about 19675.5726727331. The cubic root of 387128160 is about 728.8165976677.

The spelling of 387128160 in words is "three hundred eighty-seven million, one hundred twenty-eight thousand, one hundred sixty".