728980 has 48 divisors (see below), whose sum is σ = 1806336. Its totient is φ = 241920.

The previous prime is 728971. The next prime is 728993. The reversal of 728980 is 89827.

It is a happy number.

It is a congruent number.

It is an unprimeable 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 in 15 ways as a sum of consecutive naturals, for example, 5677 + ... + 5803.

It is an arithmetic number, because the mean of its divisors is an integer number (37632).

2⁷²⁸⁹⁸⁰ is an apocalyptic number.

728980 is a gapful number since it is divisible by the number (70) 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 728980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903168).

728980 is an abundant number, since it is smaller than the sum of its proper divisors (1077356).

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

728980 is a wasteful number, since it uses less digits than its factorization.

728980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 728980 is about 853.8032560256. The cubic root of 728980 is about 89.9991769472. Note that the first 3 decimals are identical.

The spelling of 728980 in words is "seven hundred twenty-eight thousand, nine hundred eighty".