6472928 has 96 divisors (see below), whose sum is σ = 16547328. Its totient is φ = 2419200.

The previous prime is 6472927. The next prime is 6472931. The reversal of 6472928 is 8292746.

Its product of digits (48384) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6472891 and 6472900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6472927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91133 + ... + 91203.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

Almost surely, 2^6472928 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 6472928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664).

6472928 is an abundant number, since it is smaller than the sum of its proper divisors (10074400).

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

6472928 is a wasteful number, since it uses less digits than its factorization.

6472928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 6472928 is about 2544.1949610830. The cubic root of 6472928 is about 186.3661036069.

The spelling of 6472928 in words is "six million, four hundred seventy-two thousand, nine hundred twenty-eight".