2628767 has 4 divisors (see below), whose sum is σ = 2632080. Its totient is φ = 2625456.

The previous prime is 2628749. The next prime is 2628779. The reversal of 2628767 is 7678262.

2628767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 7678262 = 2 ⋅3839131.

It is a cyclic number.

It is not a de Polignac number, because 2628767 - 2¹⁴ = 2612383 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2628767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (658020).

2^2628767 is an apocalyptic number.

2628767 is a deficient number, since it is larger than the sum of its proper divisors (3313).

2628767 is a wasteful number, since it uses less digits than its factorization.

2628767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312.

The product of its digits is 56448, while the sum is 38.

The square root of 2628767 is about 1621.3472792712. The cubic root of 2628767 is about 138.0121637391.

The spelling of 2628767 in words is "two million, six hundred twenty-eight thousand, seven hundred sixty-seven".