385828352 has 160 divisors (see below), whose sum is σ = 973896000. Its totient is φ = 152635392.

The previous prime is 385828349. The next prime is 385828357. The reversal of 385828352 is 253828583.

The cubic root of 385828352 is 728.

It is a perfect power (a cube), and thus also a powerful number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385828357) 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, 29679098 + ... + 29679110.

It is an arithmetic number, because the mean of its divisors is an integer number (6086850).

Almost surely, 2^385828352 is an apocalyptic number.

385828352 is a gapful number since it is divisible by the number (32) 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 385828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486948000).

385828352 is an abundant number, since it is smaller than the sum of its proper divisors (588067648).

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

385828352 is an frugal number, since it uses more digits than its factorization.

385828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 22 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 385828352 is about 19642.5138920659.

The spelling of 385828352 in words is "three hundred eighty-five million, eight hundred twenty-eight thousand, three hundred fifty-two".