385528 has 32 divisors (see below), whose sum is σ = 851760. Its totient is φ = 161280.

The previous prime is 385519. The next prime is 385531. The reversal of 385528 is 825583.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 385528.

It is a congruent number.

It is an unprimeable number.

385528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976 + ... + 1312.

2³⁸⁵⁵²⁸ 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 385528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425880).

385528 is an abundant number, since it is smaller than the sum of its proper divisors (466232).

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

385528 is a wasteful number, since it uses less digits than its factorization.

385528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 385528 is about 620.9090110475. The cubic root of 385528 is about 72.7811044628.

It can be divided in two parts, 3855 and 28, that added together give a palindrome (3883).

The spelling of 385528 in words is "three hundred eighty-five thousand, five hundred twenty-eight".