7828668287 has 32 divisors (see below), whose sum is σ = 9165312000. Its totient is φ = 6611401440.

The previous prime is 7828668269. The next prime is 7828668299.

7828668287 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7828668287 - 2³² = 3533700991 is a prime.

It is a super-2 number, since 2×7828668287² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828668247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8865548 + ... + 8866430.

It is an arithmetic number, because the mean of its divisors is an integer number (286416000).

Almost surely, 2^7828668287 is an apocalyptic number.

7828668287 is a deficient number, since it is larger than the sum of its proper divisors (1336643713).

7828668287 is a wasteful number, since it uses less digits than its factorization.

7828668287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691.

The product of its digits is 28901376, while the sum is 62.

The square root of 7828668287 is about 88479.7620193454. The cubic root of 7828668287 is about 1985.6192014038.

The spelling of 7828668287 in words is "seven billion, eight hundred twenty-eight million, six hundred sixty-eight thousand, two hundred eighty-seven".