828142120 has 32 divisors (see below), whose sum is σ = 2006653320. Its totient is φ = 305775360.

The previous prime is 828142111. The next prime is 828142129. The reversal of 828142120 is 21241828.

It is an interprime number because it is at equal distance from previous prime (828142111) and next prime (828142129).

It can be written as a sum of positive squares in 4 ways, for example, as 550653156 + 277488964 = 23466^2 + 16658^2 .

It is not an unprimeable number, because it can be changed into a prime (828142129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 795771 + ... + 796810.

Almost surely, 2^828142120 is an apocalyptic number.

It is an amenable number.

828142120 is an abundant number, since it is smaller than the sum of its proper divisors (1178511200).

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

828142120 is a wasteful number, since it uses less digits than its factorization.

828142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592605 (or 1592601 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 828142120 is about 28777.4585396279. The cubic root of 828142120 is about 939.0779097169.

Adding to 828142120 its reverse (21241828), we get a palindrome (849383948).

The spelling of 828142120 in words is "eight hundred twenty-eight million, one hundred forty-two thousand, one hundred twenty".