2792767628 has 48 divisors (see below), whose sum is σ = 5784609600. Its totient is φ = 1154334720.

The previous prime is 2792767609. The next prime is 2792767639. The reversal of 2792767628 is 8267672972.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142888 + ... + 1145328.

It is an arithmetic number, because the mean of its divisors is an integer number (120512700).

Almost surely, 2^2792767628 is an apocalyptic number.

2792767628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2792767628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892304800).

2792767628 is an abundant number, since it is smaller than the sum of its proper divisors (2991841972).

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

2792767628 is a wasteful number, since it uses less digits than its factorization.

2792767628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3888 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 56.

The square root of 2792767628 is about 52846.6425423602. The cubic root of 2792767628 is about 1408.2451599136.

The spelling of 2792767628 in words is "two billion, seven hundred ninety-two million, seven hundred sixty-seven thousand, six hundred twenty-eight".