97728 has 28 divisors (see below), whose sum is σ = 259080. Its totient is φ = 32512.

The previous prime is 97711. The next prime is 97729. The reversal of 97728 is 82779.

It is a plaindrome in base 14.

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 97728.

It is not an unprimeable number, because it can be changed into a prime (97729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63 + ... + 446.

2⁹⁷⁷²⁸ 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 97728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129540).

97728 is an abundant number, since it is smaller than the sum of its proper divisors (161352).

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

97728 is a wasteful number, since it uses less digits than its factorization.

97728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 97728 is about 312.6147789213. The cubic root of 97728 is about 46.0616690205.

The spelling of 97728 in words is "ninety-seven thousand, seven hundred twenty-eight".