2827628097 has 16 divisors (see below), whose sum is σ = 4425220992. Its totient is φ = 1572117120.

The previous prime is 2827628059. The next prime is 2827628107. The reversal of 2827628097 is 7908267282.

It is not a de Polignac number, because 2827628097 - 2¹⁰ = 2827627073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2827628047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1818804 + ... + 1820357.

It is an arithmetic number, because the mean of its divisors is an integer number (276576312).

Almost surely, 2^2827628097 is an apocalyptic number.

It is an amenable number.

2827628097 is a deficient number, since it is larger than the sum of its proper divisors (1597592895).

2827628097 is a wasteful number, since it uses less digits than its factorization.

2827628097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639208.

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 2827628097 is about 53175.4463733028. The cubic root of 2827628097 is about 1414.0803785398.

The spelling of 2827628097 in words is "two billion, eight hundred twenty-seven million, six hundred twenty-eight thousand, ninety-seven".