828879285120 has 128 divisors (see below), whose sum is σ = 2661338622240. Its totient is φ = 219421016064.

The previous prime is 828879285107. The next prime is 828879285121. The reversal of 828879285120 is 21582978828.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828879285121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312537 + ... + 1838616.

Almost surely, 2^828879285120 is an apocalyptic number.

828879285120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828879285120 is an abundant number, since it is smaller than the sum of its proper divisors (1832459337120).

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

828879285120 is a wasteful number, since it uses less digits than its factorization.

828879285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151312 (or 3151300 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 60.

The spelling of 828879285120 in words is "eight hundred twenty-eight billion, eight hundred seventy-nine million, two hundred eighty-five thousand, one hundred twenty".