6258728 has 32 divisors (see below), whose sum is σ = 13604160. Its totient is φ = 2643840.

The previous prime is 6258727. The next prime is 6258757. The reversal of 6258728 is 8278526.

It is a super-3 number, since 3×6258728³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6258691 and 6258700.

It is not an unprimeable number, because it can be changed into a prime (6258727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3323 + ... + 4853.

It is an arithmetic number, because the mean of its divisors is an integer number (425130).

Almost surely, 2^6258728 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 6258728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802080).

6258728 is an abundant number, since it is smaller than the sum of its proper divisors (7345432).

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

6258728 is a wasteful number, since it uses less digits than its factorization.

6258728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1613 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 6258728 is about 2501.7449910013. The cubic root of 6258728 is about 184.2872796545.

The spelling of 6258728 in words is "six million, two hundred fifty-eight thousand, seven hundred twenty-eight".