89028 has 18 divisors (see below), whose sum is σ = 225134. Its totient is φ = 29664.

The previous prime is 89021. The next prime is 89041. The reversal of 89028 is 82098.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 6084 = 288^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 88992 and 89010.

It is not an unprimeable number, because it can be changed into a prime (89021) by changing a digit.

89028 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 5 ways as a sum of consecutive naturals, for example, 1201 + ... + 1272.

2⁸⁹⁰²⁸ is an apocalyptic number.

It is an amenable number.

89028 is an abundant number, since it is smaller than the sum of its proper divisors (136106).

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

89028 is a wasteful number, since it uses less digits than its factorization.

89028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 89028 is about 298.3756022198. The cubic root of 89028 is about 44.6521325946.

The spelling of 89028 in words is "eighty-nine thousand, twenty-eight".