827276672728 has 64 divisors (see below), whose sum is σ = 1781586576000. Its totient is φ = 356169772800.

The previous prime is 827276672699. The next prime is 827276672731.

827276672728 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 827276672728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8446743 + ... + 8544121.

It is an arithmetic number, because the mean of its divisors is an integer number (27837290250).

Almost surely, 2^827276672728 is an apocalyptic number.

827276672728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827276672728 is an abundant number, since it is smaller than the sum of its proper divisors (954309903272).

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

827276672728 is a wasteful number, since it uses less digits than its factorization.

827276672728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102496 (or 102492 counting only the distinct ones).

The product of its digits is 88510464, while the sum is 64.

The spelling of 827276672728 in words is "eight hundred twenty-seven billion, two hundred seventy-six million, six hundred seventy-two thousand, seven hundred twenty-eight".