102828 has 48 divisors (see below), whose sum is σ = 282240. Its totient is φ = 28800.

The previous prime is 102811. The next prime is 102829. The reversal of 102828 is 828201.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102828.

It is not an unprimeable number, because it can be changed into a prime (102829) by changing a digit.

102828 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 15 ways as a sum of consecutive naturals, for example, 2488 + ... + 2528.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2¹⁰²⁸²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

102828 is an abundant number, since it is smaller than the sum of its proper divisors (179412).

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

102828 is a wasteful number, since it uses less digits than its factorization.

102828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 102828 is about 320.6680526651. The cubic root of 102828 is about 46.8493744380.

The spelling of 102828 in words is "one hundred two thousand, eight hundred twenty-eight".