7828193296 has 80 divisors (see below), whose sum is σ = 18931074048. Its totient is φ = 3046492800.

The previous prime is 7828193293. The next prime is 7828193297. The reversal of 7828193296 is 6923918287.

It is a super-2 number, since 2×7828193296² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7828193293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267111 + ... + 1273273.

Almost surely, 2^7828193296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7828193296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465537024).

7828193296 is an abundant number, since it is smaller than the sum of its proper divisors (11102880752).

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

7828193296 is a wasteful number, since it uses less digits than its factorization.

7828193296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7214 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 55.

The square root of 7828193296 is about 88477.0777998460. The cubic root of 7828193296 is about 1985.5790425802.

The spelling of 7828193296 in words is "seven billion, eight hundred twenty-eight million, one hundred ninety-three thousand, two hundred ninety-six".