3828128 has 48 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 1735680.

The previous prime is 3828119. The next prime is 3828133. The reversal of 3828128 is 8218283.

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

It is a junction number, because it is equal to n+sod(n) for n = 3828094 and 3828103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16751 + ... + 16977.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

Almost surely, 2^3828128 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 3828128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832).

3828128 is an abundant number, since it is smaller than the sum of its proper divisors (4445536).

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

3828128 is a wasteful number, since it uses less digits than its factorization.

3828128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 3828128 is about 1956.5602469640. The cubic root of 3828128 is about 156.4331595061.

It can be divided in two parts, 3828 and 128, that multiplied together give a palindrome (489984).

The spelling of 3828128 in words is "three million, eight hundred twenty-eight thousand, one hundred twenty-eight".