82878999987828 has 192 divisors, whose sum is σ = 220248466695936. Its totient is φ = 24032194560000.

The previous prime is 82878999987799. The next prime is 82878999987877.

82878999987828 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2949731476 + ... + 2949759572.

It is an arithmetic number, because the mean of its divisors is an integer number (1147127430708).

Almost surely, 2^{82878999987828} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82878999987828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110124233347968).

82878999987828 is an abundant number, since it is smaller than the sum of its proper divisors (137369466708108).

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

82878999987828 is a wasteful number, since it uses less digits than its factorization.

82878999987828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38114 (or 38112 counting only the distinct ones).

The product of its digits is 337105649664, while the sum is 102.

The spelling of 82878999987828 in words is "eighty-two trillion, eight hundred seventy-eight billion, nine hundred ninety-nine million, nine hundred eighty-seven thousand, eight hundred twenty-eight".