827903952 has 60 divisors (see below), whose sum is σ = 2417729184. Its totient is φ = 263968320.

The previous prime is 827903933. The next prime is 827903953. The reversal of 827903952 is 259309728.

827903952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 827903898 and 827903907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827903953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121674 + ... + 128297.

Almost surely, 2^827903952 is an apocalyptic number.

It is an amenable number.

827903952 is an abundant number, since it is smaller than the sum of its proper divisors (1589825232).

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

827903952 is a wasteful number, since it uses less digits than its factorization.

827903952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250008 (or 249999 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 827903952 is about 28773.3201421039. The cubic root of 827903952 is about 938.9878769611.

The spelling of 827903952 in words is "eight hundred twenty-seven million, nine hundred three thousand, nine hundred fifty-two".