385528848 has 80 divisors (see below), whose sum is σ = 1061836800. Its totient is φ = 120182400.

The previous prime is 385528831. The next prime is 385528903. The reversal of 385528848 is 848825583.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 385528848.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69373 + ... + 74723.

It is an arithmetic number, because the mean of its divisors is an integer number (13272960).

Almost surely, 2^385528848 is an apocalyptic number.

385528848 is a gapful number since it is divisible by the number (38) 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 385528848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530918400).

385528848 is an abundant number, since it is smaller than the sum of its proper divisors (676307952).

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

385528848 is a wasteful number, since it uses less digits than its factorization.

385528848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5454 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 51.

The square root of 385528848 is about 19634.8885405545. Note that the first 3 decimals coincide. The cubic root of 385528848 is about 727.8115782544.

The spelling of 385528848 in words is "three hundred eighty-five million, five hundred twenty-eight thousand, eight hundred forty-eight".