3828528 has 60 divisors (see below), whose sum is σ = 11693448. Its totient is φ = 1159680.

The previous prime is 3828523. The next prime is 3828571. The reversal of 3828528 is 8258283.

3828528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3828492 and 3828501.

It is not an unprimeable number, because it can be changed into a prime (3828521) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 376 + ... + 2792.

Almost surely, 2^3828528 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 3828528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846724).

3828528 is an abundant number, since it is smaller than the sum of its proper divisors (7864920).

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

3828528 is a wasteful number, since it uses less digits than its factorization.

3828528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2433 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 3828528 is about 1956.6624645043. The cubic root of 3828528 is about 156.4386078683.

It can be divided in two parts, 3828 and 528, that added together give a square (4356 = 66²).

The spelling of 3828528 in words is "three million, eight hundred twenty-eight thousand, five hundred twenty-eight".