93828 has 24 divisors (see below), whose sum is σ = 250432. Its totient is φ = 26784.

The previous prime is 93827. The next prime is 93851. The reversal of 93828 is 82839.

It is a d-powerful number, because it can be written as 9⁴ + 3⁹ + 8⁵ + 2¹¹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 93795 and 93804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475 + ... + 642.

2⁹³⁸²⁸ is an apocalyptic number.

It is an amenable number.

93828 is an abundant number, since it is smaller than the sum of its proper divisors (156604).

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 (125216).

93828 is a wasteful number, since it uses less digits than its factorization.

93828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 93828 is about 306.3135648319. The cubic root of 93828 is about 45.4406100312.

The spelling of 93828 in words is "ninety-three thousand, eight hundred twenty-eight".