385568128 has 64 divisors (see below), whose sum is σ = 842063040. Its totient is φ = 174400000.

The previous prime is 385568123. The next prime is 385568147. The reversal of 385568128 is 821865583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385568123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352863 + ... + 353953.

It is an arithmetic number, because the mean of its divisors is an integer number (13157235).

Almost surely, 2^385568128 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 385568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421031520).

385568128 is an abundant number, since it is smaller than the sum of its proper divisors (456494912).

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

385568128 is a wasteful number, since it uses less digits than its factorization.

385568128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1355 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The square root of 385568128 is about 19635.8887754031. Note that the first 3 decimals coincide. The cubic root of 385568128 is about 727.8362953567.

The spelling of 385568128 in words is "three hundred eighty-five million, five hundred sixty-eight thousand, one hundred twenty-eight".