827653383356728 has 16 divisors (see below), whose sum is σ = 1559974963397760. Its totient is φ = 411660059784000.

The previous prime is 827653383356669. The next prime is 827653383356777.

827653383356728 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×827653383356728² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270828985173 + ... + 270828988228.

It is an arithmetic number, because the mean of its divisors is an integer number (97498435212360).

Almost surely, 2^{827653383356728} is an apocalyptic number.

It is an amenable number.

827653383356728 is a deficient number, since it is larger than the sum of its proper divisors (732321580041032).

827653383356728 is a wasteful number, since it uses less digits than its factorization.

827653383356728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541657973598 (or 541657973594 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 76.

The spelling of 827653383356728 in words is "eight hundred twenty-seven trillion, six hundred fifty-three billion, three hundred eighty-three million, three hundred fifty-six thousand, seven hundred twenty-eight".