493728 has 48 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 158976.

The previous prime is 493721. The next prime is 493729. The reversal of 493728 is 827394.

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

Its product of digits (12096) is a multiple of the sum of its prime factors (189).

It is not an unprimeable number, because it can be changed into a prime (493721) 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 7 ways as a sum of consecutive naturals, for example, 3483 + ... + 3621.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2⁴⁹³⁷²⁸ is an apocalyptic number.

493728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

493728 is an abundant number, since it is smaller than the sum of its proper divisors (846912).

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

493728 is a wasteful number, since it uses less digits than its factorization.

493728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 493728 is about 702.6578114559. The cubic root of 493728 is about 79.0367825295.

It can be divided in two parts, 493 and 728, that added together give a palindrome (1221).

The spelling of 493728 in words is "four hundred ninety-three thousand, seven hundred twenty-eight".