827121728 has 14 divisors (see below), whose sum is σ = 1641319806. Its totient is φ = 413560832.

The previous prime is 827121721. The next prime is 827121739.

827121728 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 467943424 + 359178304 = 21632^2 + 18952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 827121691 and 827121700.

It is not an unprimeable number, because it can be changed into a prime (827121721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6461825 + ... + 6461952.

It is an arithmetic number, because the mean of its divisors is an integer number (117237129).

Almost surely, 2^827121728 is an apocalyptic number.

It is an amenable number.

827121728 is a deficient number, since it is larger than the sum of its proper divisors (814198078).

827121728 is a wasteful number, since it uses less digits than its factorization.

827121728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12923789 (or 12923779 counting only the distinct ones).

The product of its digits is 25088, while the sum is 38.

The square root of 827121728 is about 28759.7240598723. The cubic root of 827121728 is about 938.6920575016.

The spelling of 827121728 in words is "eight hundred twenty-seven million, one hundred twenty-one thousand, seven hundred twenty-eight".