385283888 has 80 divisors (see below), whose sum is σ = 843696000. Its totient is φ = 168921600.

The previous prime is 385283887. The next prime is 385283897. The reversal of 385283888 is 888382583.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (385283887) 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, 771863 + ... + 772361.

It is an arithmetic number, because the mean of its divisors is an integer number (10546200).

Almost surely, 2^385283888 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 385283888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848000).

385283888 is an abundant number, since it is smaller than the sum of its proper divisors (458412112).

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

385283888 is a wasteful number, since it uses less digits than its factorization.

385283888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 53.

The square root of 385283888 is about 19628.6496733728. The cubic root of 385283888 is about 727.6573982681.

It can be divided in two parts, 3852 and 83888, that multiplied together give a square (323136576 = 17976²).

The spelling of 385283888 in words is "three hundred eighty-five million, two hundred eighty-three thousand, eight hundred eighty-eight".