6428832 has 48 divisors (see below), whose sum is σ = 17019072. Its totient is φ = 2124800.

The previous prime is 6428827. The next prime is 6428833. The reversal of 6428832 is 2388246.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6428793 and 6428802.

It is not an unprimeable number, because it can be changed into a prime (6428833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15832 + ... + 16232.

It is an arithmetic number, because the mean of its divisors is an integer number (354564).

Almost surely, 2^6428832 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 6428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509536).

6428832 is an abundant number, since it is smaller than the sum of its proper divisors (10590240).

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

6428832 is a wasteful number, since it uses less digits than its factorization.

6428832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 6428832 is about 2535.5141490435. The cubic root of 6428832 is about 185.9419404867.

It can be divided in two parts, 6428 and 832, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 6428832 in words is "six million, four hundred twenty-eight thousand, eight hundred thirty-two".