90728 has 16 divisors (see below), whose sum is σ = 185760. Its totient is φ = 41200.

The previous prime is 90709. The next prime is 90731. The reversal of 90728 is 82709.

It is a junction number, because it is equal to n+sod(n) for n = 90697 and 90706.

It is a congruent number.

It is an unprimeable number.

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, 428 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (11610).

2⁹⁰⁷²⁸ is an apocalyptic number.

It is an amenable number.

90728 is an abundant number, since it is smaller than the sum of its proper divisors (95032).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92880).

90728 is a wasteful number, since it uses less digits than its factorization.

90728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 90728 is about 301.2108895774. The cubic root of 90728 is about 44.9345550733.

It can be divided in two parts, 90 and 728, that added together give a palindrome (818).

The spelling of 90728 in words is "ninety thousand, seven hundred twenty-eight".