6629328 has 60 divisors (see below), whose sum is σ = 19537440. Its totient is φ = 2092608.

The previous prime is 6629323. The next prime is 6629333. The reversal of 6629328 is 8239266.

6629328 is a `hidden beast` number, since 6 + 629 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (6629323) and next prime (6629333).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 6629292 and 6629301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6629323) 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, 1525 + ... + 3947.

It is an arithmetic number, because the mean of its divisors is an integer number (325624).

Almost surely, 2^6629328 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 6629328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9768720).

6629328 is an abundant number, since it is smaller than the sum of its proper divisors (12908112).

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

6629328 is a wasteful number, since it uses less digits than its factorization.

6629328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2447 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6629328 is about 2574.7481430229. The cubic root of 6629328 is about 187.8551774364.

The spelling of 6629328 in words is "six million, six hundred twenty-nine thousand, three hundred twenty-eight".