385056528 has 80 divisors (see below), whose sum is σ = 1060646400. Its totient is φ = 119953408.

The previous prime is 385056523. The next prime is 385056557. The reversal of 385056528 is 825650583.

It is a self number, because there is not a number n which added to its sum of digits gives 385056528.

It is not an unprimeable number, because it can be changed into a prime (385056523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120001 + ... + 123167.

It is an arithmetic number, because the mean of its divisors is an integer number (13258080).

Almost surely, 2^385056528 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 385056528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530323200).

385056528 is an abundant number, since it is smaller than the sum of its proper divisors (675589872).

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

385056528 is a wasteful number, since it uses less digits than its factorization.

385056528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 385056528 is about 19622.8572842999. The cubic root of 385056528 is about 727.5142373898.

It can be divided in two parts, 3850 and 56528, that added together give a triangular number (60378 = T₃₄₇).

The spelling of 385056528 in words is "three hundred eighty-five million, fifty-six thousand, five hundred twenty-eight".