8028948931600 has 45 divisors (see below), whose sum is σ = 19289685960727. Its totient is φ = 3211556904320.

The previous prime is 8028948931571. The next prime is 8028948931607. The reversal of 8028948931600 is 61398498208.

The square root of 8028948931600 is 2833540.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2898615211024 + 5130333720576 = 1702532^2 + 2265024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8028948931607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56599962 + ... + 56741638.

Almost surely, 2^{8028948931600} is an apocalyptic number.

8028948931600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8028948931600 is the 2833540-th square number.

It is an amenable number.

8028948931600 is an abundant number, since it is smaller than the sum of its proper divisors (11260737029127).

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

8028948931600 is an frugal number, since it uses more digits than its factorization.

8028948931600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283372 (or 141684 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 8028948931600 in words is "eight trillion, twenty-eight billion, nine hundred forty-eight million, nine hundred thirty-one thousand, six hundred".