6428004 has 72 divisors (see below), whose sum is σ = 17428320. Its totient is φ = 1837440.

The previous prime is 6427987. The next prime is 6428011. The reversal of 6428004 is 4008246.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27472 + ... + 27704.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 2^6428004 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 6428004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714160).

6428004 is an abundant number, since it is smaller than the sum of its proper divisors (11000316).

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

6428004 is a wasteful number, since it uses less digits than its factorization.

6428004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6428004 is about 2535.3508632929. The cubic root of 6428004 is about 185.9339573602.

It can be divided in two parts, 642 and 8004, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 6428004 in words is "six million, four hundred twenty-eight thousand, four".