6444828 has 72 divisors (see below), whose sum is σ = 17978688. Its totient is φ = 1934208.

The previous prime is 6444827. The next prime is 6444839. The reversal of 6444828 is 8284446.

6444828 is a `hidden beast` number, since 644 + 4 + 8 + 2 + 8 = 666.

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 = 6444792 and 6444801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444827) 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 23 ways as a sum of consecutive naturals, for example, 21850 + ... + 22142.

It is an arithmetic number, because the mean of its divisors is an integer number (249704).

Almost surely, 2^6444828 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 6444828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8989344).

6444828 is an abundant number, since it is smaller than the sum of its proper divisors (11533860).

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

6444828 is a wasteful number, since it uses less digits than its factorization.

6444828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 358 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 6444828 is about 2538.6665791317. Note that the first 3 decimals coincide. The cubic root of 6444828 is about 186.0960308829.

Subtracting from 6444828 its product of digits (49152), we obtain a triangular number (6395676 = T₃₅₇₆).

The spelling of 6444828 in words is "six million, four hundred forty-four thousand, eight hundred twenty-eight".