6407328 has 48 divisors (see below), whose sum is σ = 17369856. Its totient is φ = 2065920.

The previous prime is 6407309. The next prime is 6407333. The reversal of 6407328 is 8237046.

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

It is a junction number, because it is equal to n+sod(n) for n = 6407295 and 6407304.

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, 1900 + ... + 4052.

It is an arithmetic number, because the mean of its divisors is an integer number (361872).

Almost surely, 2^6407328 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 6407328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8684928).

6407328 is an abundant number, since it is smaller than the sum of its proper divisors (10962528).

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

6407328 is a wasteful number, since it uses less digits than its factorization.

6407328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6407328 is about 2531.2700369577. The cubic root of 6407328 is about 185.7343879057.

The spelling of 6407328 in words is "six million, four hundred seven thousand, three hundred twenty-eight".