6205728 has 48 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 2048256.

The previous prime is 6205711. The next prime is 6205747. The reversal of 6205728 is 8275026.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6205728² = 77022120019968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6205695 and 6205704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11938 + ... + 12446.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 2^6205728 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 6205728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

6205728 is an abundant number, since it is smaller than the sum of its proper divisors (10244832).

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

6205728 is a wasteful number, since it uses less digits than its factorization.

6205728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6205728 is about 2491.1298641380. The cubic root of 6205728 is about 183.7656120753.

The spelling of 6205728 in words is "six million, two hundred five thousand, seven hundred twenty-eight".