7288008827 has 16 divisors (see below), whose sum is σ = 8328586752. Its totient is φ = 6312683520.

The previous prime is 7288008823. The next prime is 7288008901.

It is a happy number.

7288008827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7288008827 - 2² = 7288008823 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7288008823) 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 15 ways as a sum of consecutive naturals, for example, 8978 + ... + 121064.

It is an arithmetic number, because the mean of its divisors is an integer number (520536672).

Almost surely, 2^7288008827 is an apocalyptic number.

7288008827 is a deficient number, since it is larger than the sum of its proper divisors (1040577925).

7288008827 is a wasteful number, since it uses less digits than its factorization.

7288008827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112378.

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

The square root of 7288008827 is about 85369.8355802563. The cubic root of 7288008827 is about 1938.8146678263.

The spelling of 7288008827 in words is "seven billion, two hundred eighty-eight million, eight thousand, eight hundred twenty-seven".