6731928 has 144 divisors (see below), whose sum is σ = 22585680. Its totient is φ = 1772928.

The previous prime is 6731927. The next prime is 6731941. The reversal of 6731928 is 8291376.

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 one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 6731892 and 6731901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6731927) 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 35 ways as a sum of consecutive naturals, for example, 181926 + ... + 181962.

It is an arithmetic number, because the mean of its divisors is an integer number (156845).

Almost surely, 2^6731928 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 6731928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292840).

6731928 is an abundant number, since it is smaller than the sum of its proper divisors (15853752).

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

6731928 is a wasteful number, since it uses less digits than its factorization.

6731928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 6731928 is about 2594.5959222970. The cubic root of 6731928 is about 188.8193453078.

It can be divided in two parts, 673 and 1928, that added together give a square (2601 = 51²).

The spelling of 6731928 in words is "six million, seven hundred thirty-one thousand, nine hundred twenty-eight".