827020728 has 48 divisors (see below), whose sum is σ = 2312107200. Its totient is φ = 266780160.

The previous prime is 827020703. The next prime is 827020751.

827020728 is nontrivially palindromic in base 10.

827020728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 827020692 and 827020701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183033 + ... + 187496.

It is an arithmetic number, because the mean of its divisors is an integer number (48168900).

Almost surely, 2^827020728 is an apocalyptic number.

It is an amenable number.

827020728 is an abundant number, since it is smaller than the sum of its proper divisors (1485086472).

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

827020728 is a wasteful number, since it uses less digits than its factorization.

827020728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370572 (or 370565 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 827020728 is about 28757.9680784300. The cubic root of 827020728 is about 938.6538479879.

The spelling of 827020728 in words is "eight hundred twenty-seven million, twenty thousand, seven hundred twenty-eight".