385605528 has 256 divisors, whose sum is σ = 1274019840. Its totient is φ = 94348800.

The previous prime is 385605503. The next prime is 385605613. The reversal of 385605528 is 825506583.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 385605528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3036201 + ... + 3036327.

It is an arithmetic number, because the mean of its divisors is an integer number (4976640).

Almost surely, 2^385605528 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 385605528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637009920).

385605528 is an abundant number, since it is smaller than the sum of its proper divisors (888414312).

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

385605528 is a wasteful number, since it uses less digits than its factorization.

385605528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

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

The square root of 385605528 is about 19636.8410901550. The cubic root of 385605528 is about 727.8598279011.

The spelling of 385605528 in words is "three hundred eighty-five million, six hundred five thousand, five hundred twenty-eight".