120828 has 12 divisors (see below), whose sum is σ = 281960. Its totient is φ = 40272.

The previous prime is 120823. The next prime is 120829. The reversal of 120828 is 828021.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120823) by changing a digit.

120828 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5023 + ... + 5046.

2¹²⁰⁸²⁸ is an apocalyptic number.

It is an amenable number.

120828 is an abundant number, since it is smaller than the sum of its proper divisors (161132).

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

120828 is a wasteful number, since it uses less digits than its factorization.

120828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10076 (or 10074 counting only the distinct ones).

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

The square root of 120828 is about 347.6032220794. The cubic root of 120828 is about 49.4374273124.

Adding to 120828 its reverse (828021), we get a palindrome (948849).

It can be divided in two parts, 12082 and 8, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 120828 in words is "one hundred twenty thousand, eight hundred twenty-eight".