89828 has 12 divisors (see below), whose sum is σ = 166572. Its totient is φ = 42240.

The previous prime is 89821. The next prime is 89833. The reversal of 89828 is 82898.

89828 = T₃₂ + T₃₃ + ... + T₈₂.

It can be written as a sum of positive squares in 2 ways, for example, as 77284 + 12544 = 278^2 + 112^2 .

It is not an unprimeable number, because it can be changed into a prime (89821) by changing a digit.

89828 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, 593 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (13881).

2⁸⁹⁸²⁸ is an apocalyptic number.

It is an amenable number.

89828 is a deficient number, since it is larger than the sum of its proper divisors (76744).

89828 is a wasteful number, since it uses less digits than its factorization.

89828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1340 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 89828 is about 299.7131962393. The cubic root of 89828 is about 44.7854810520.

The spelling of 89828 in words is "eighty-nine thousand, eight hundred twenty-eight".