5801728 has 36 divisors (see below), whose sum is σ = 11736648. Its totient is φ = 2862080.

The previous prime is 5801723. The next prime is 5801729. The reversal of 5801728 is 8271085.

It is a self number, because there is not a number n which added to its sum of digits gives 5801728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5801723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33450 + ... + 33622.

It is an arithmetic number, because the mean of its divisors is an integer number (326018).

Almost surely, 2^5801728 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 5801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868324).

5801728 is an abundant number, since it is smaller than the sum of its proper divisors (5934920).

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

5801728 is a wasteful number, since it uses less digits than its factorization.

5801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 5801728 is about 2408.6776455142. The cubic root of 5801728 is about 179.6880192499.

The spelling of 5801728 in words is "five million, eight hundred one thousand, seven hundred twenty-eight".