91828 has 12 divisors (see below), whose sum is σ = 175392. Its totient is φ = 41720.

The previous prime is 91823. The next prime is 91837. The reversal of 91828 is 82819.

It is a d-powerful number, because it can be written as 9⁵ + 1 + 8 + 2 + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 91796 and 91805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91823) by changing a digit.

91828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1000 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (14616).

2⁹¹⁸²⁸ is an apocalyptic number.

It is an amenable number.

91828 is a deficient number, since it is larger than the sum of its proper divisors (83564).

91828 is a wasteful number, since it uses less digits than its factorization.

91828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2100 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 91828 is about 303.0313515133. The cubic root of 91828 is about 45.1154238522.

Subtracting from 91828 its reverse (82819), we obtain a palindrome (9009).

It can be divided in two parts, 918 and 28, that added together give a triangular number (946 = T₄₃).

The spelling of 91828 in words is "ninety-one thousand, eight hundred twenty-eight".