480728 has 8 divisors (see below), whose sum is σ = 901380. Its totient is φ = 240360.

The previous prime is 480713. The next prime is 480731. The reversal of 480728 is 827084.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×480728³ = 333287871488365056, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480728.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480728.

It is an unprimeable number.

480728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30038 + ... + 30053.

2⁴⁸⁰⁷²⁸ is an apocalyptic number.

It is an amenable number.

480728 is a deficient number, since it is larger than the sum of its proper divisors (420652).

480728 is a wasteful number, since it uses less digits than its factorization.

480728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60097 (or 60093 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 480728 is about 693.3455127135. The cubic root of 480728 is about 78.3369164902.

The spelling of 480728 in words is "four hundred eighty thousand, seven hundred twenty-eight".