386528 has 24 divisors (see below), whose sum is σ = 780192. Its totient is φ = 188416.

The previous prime is 386521. The next prime is 386537. The reversal of 386528 is 825683.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 386494 and 386503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386521) by changing a digit.

386528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1376 + ... + 1632.

It is an arithmetic number, because the mean of its divisors is an integer number (32508).

2³⁸⁶⁵²⁸ 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 386528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390096).

386528 is an abundant number, since it is smaller than the sum of its proper divisors (393664).

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

386528 is a wasteful number, since it uses less digits than its factorization.

386528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 386528 is about 621.7137605040. The cubic root of 386528 is about 72.8439777754.

The spelling of 386528 in words is "three hundred eighty-six thousand, five hundred twenty-eight".