6481728 has 168 divisors, whose sum is σ = 21620480. Its totient is φ = 1900800.

The previous prime is 6481711. The next prime is 6481729. The reversal of 6481728 is 8271846.

6481728 is a `hidden beast` number, since 648 + 1 + 7 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6481692 and 6481701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6481729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209073 + ... + 209103.

Almost surely, 2^6481728 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 6481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810240).

6481728 is an abundant number, since it is smaller than the sum of its proper divisors (15138752).

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

6481728 is a wasteful number, since it uses less digits than its factorization.

6481728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 6481728 is about 2545.9238009021. The cubic root of 6481728 is about 186.4505207911.

The spelling of 6481728 in words is "six million, four hundred eighty-one thousand, seven hundred twenty-eight".