828343897956 has 135 divisors (see below), whose sum is σ = 2205352607689. Its totient is φ = 271117996992.

The previous prime is 828343897937. The next prime is 828343897957. The reversal of 828343897956 is 659798343828.

The square root of 828343897956 is 910134.

It is a perfect power (a square), and thus also a powerful number.

828343897956 is a `hidden beast` number, since 82 + 83 + 4 + 389 + 7 + 95 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 767638822500 + 60705075456 = 876150^2 + 246384^2 .

It is a super-2 number, since 2×828343897956² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828343897957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 966561880 + ... + 966562736.

Almost surely, 2^828343897956 is an apocalyptic number.

828343897956 is the 910134-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828343897956

828343897956 is an abundant number, since it is smaller than the sum of its proper divisors (1377008709733).

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

828343897956 is an frugal number, since it uses more digits than its factorization.

828343897956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 921 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 828343897956 in words is "eight hundred twenty-eight billion, three hundred forty-three million, eight hundred ninety-seven thousand, nine hundred fifty-six".