82687868928 has 840 divisors, whose sum is σ = 302559468288. Its totient is φ = 22072393728.

The previous prime is 82687868927. The next prime is 82687868959. The reversal of 82687868928 is 82986878628.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82687868927) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1922973675 + ... + 1922973717.

Almost surely, 2^82687868928 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 82687868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151279734144).

82687868928 is an abundant number, since it is smaller than the sum of its proper divisors (219871599360).

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

82687868928 is an frugal number, since it uses more digits than its factorization.

82687868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 72.

The spelling of 82687868928 in words is "eighty-two billion, six hundred eighty-seven million, eight hundred sixty-eight thousand, nine hundred twenty-eight".