7828533441 has 63 divisors (see below), whose sum is σ = 12264654649. Its totient is φ = 4994462592.

The previous prime is 7828533379. The next prime is 7828533443. The reversal of 7828533441 is 1443358287.

The square root of 7828533441 is 88479.

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

7828533441 is a `hidden beast` number, since 78 + 2 + 8 + 533 + 4 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2701400625 + 5127132816 = 51975^2 + 71604^2 .

It is not a de Polignac number, because 7828533441 - 2¹⁹ = 7828009153 is a prime.

It is a super-2 number, since 2×7828533441² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7828533443) 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 62 ways as a sum of consecutive naturals, for example, 69279001 + ... + 69279113.

Almost surely, 2^7828533441 is an apocalyptic number.

7828533441 is the 88479-th square number.

7828533441 is the 44240-th centered octagonal number.

It is an amenable number.

7828533441 is a deficient number, since it is larger than the sum of its proper divisors (4436121208).

7828533441 is an frugal number, since it uses more digits than its factorization.

7828533441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 145 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The cubic root of 7828533441 is about 1985.6078008124.

The spelling of 7828533441 in words is "seven billion, eight hundred twenty-eight million, five hundred thirty-three thousand, four hundred forty-one".