102928 has 20 divisors (see below), whose sum is σ = 228160. Its totient is φ = 44064.

The previous prime is 102913. The next prime is 102929. The reversal of 102928 is 829201.

It is a junction number, because it is equal to n+sod(n) for n = 102899 and 102908.

It is not an unprimeable number, because it can be changed into a prime (102929) by changing a digit.

102928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 348 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (11408).

2¹⁰²⁹²⁸ is an apocalyptic number.

It is an amenable number.

102928 is an abundant number, since it is smaller than the sum of its proper divisors (125232).

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

102928 is an equidigital number, since it uses as much as digits as its factorization.

102928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 102928 is about 320.8239392564. The cubic root of 102928 is about 46.8645564882.

The spelling of 102928 in words is "one hundred two thousand, nine hundred twenty-eight".