6241728 has 112 divisors (see below), whose sum is σ = 18288000. Its totient is φ = 1870848.

The previous prime is 6241723. The next prime is 6241733. The reversal of 6241728 is 8271426.

It is an interprime number because it is at equal distance from previous prime (6241723) and next prime (6241733).

Its product of digits (5376) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 6241695 and 6241704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6241721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105763 + ... + 105821.

Almost surely, 2^6241728 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 6241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144000).

6241728 is an abundant number, since it is smaller than the sum of its proper divisors (12046272).

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

6241728 is a wasteful number, since it uses less digits than its factorization.

6241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 6241728 is about 2498.3450522296. The cubic root of 6241728 is about 184.1202742309.

The spelling of 6241728 in words is "six million, two hundred forty-one thousand, seven hundred twenty-eight".