828087873120 has 288 divisors, whose sum is σ = 3042794795040. Its totient is φ = 204310855680.

The previous prime is 828087873113. The next prime is 828087873127. The reversal of 828087873120 is 21378780828.

It is an interprime number because it is at equal distance from previous prime (828087873113) and next prime (828087873127).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828087873127) 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 47 ways as a sum of consecutive naturals, for example, 1157650 + ... + 1730990.

It is an arithmetic number, because the mean of its divisors is an integer number (10565259705).

Almost surely, 2^828087873120 is an apocalyptic number.

828087873120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828087873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521397397520).

828087873120 is an abundant number, since it is smaller than the sum of its proper divisors (2214706921920).

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

828087873120 is a wasteful number, since it uses less digits than its factorization.

828087873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573438 (or 573427 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 828087873120 in words is "eight hundred twenty-eight billion, eighty-seven million, eight hundred seventy-three thousand, one hundred twenty".