7828008287 has 8 divisors (see below), whose sum is σ = 8542128000. Its totient is φ = 7114302360.

The previous prime is 7828008269. The next prime is 7828008317.

It is a happy number.

7828008287 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7828008287 - 2⁸ = 7828008031 is a prime.

It is a super-2 number, since 2×7828008287² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828008247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63203 + ... + 140180.

It is an arithmetic number, because the mean of its divisors is an integer number (1067766000).

Almost surely, 2^7828008287 is an apocalyptic number.

7828008287 is a deficient number, since it is larger than the sum of its proper divisors (714119713).

7828008287 is a wasteful number, since it uses less digits than its factorization.

7828008287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206893.

The product of its (nonzero) digits is 802816, while the sum is 50.

The square root of 7828008287 is about 88476.0322742832. The cubic root of 7828008287 is about 1985.5634002784.

The spelling of 7828008287 in words is "seven billion, eight hundred twenty-eight million, eight thousand, two hundred eighty-seven".