2628407363 has 16 divisors (see below), whose sum is σ = 2788292160. Its totient is φ = 2472628224.

The previous prime is 2628407357. The next prime is 2628407399. The reversal of 2628407363 is 3637048262.

It is a cyclic number.

It is not a de Polignac number, because 2628407363 - 2⁴ = 2628407347 is a prime.

It is a super-3 number, since 3×2628407363³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 2628407363.

It is not an unprimeable number, because it can be changed into a prime (2628407063) by changing a digit.

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, 391745 + ... + 398397.

It is an arithmetic number, because the mean of its divisors is an integer number (174268260).

Almost surely, 2^2628407363 is an apocalyptic number.

2628407363 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2628407363 is a deficient number, since it is larger than the sum of its proper divisors (159884797).

2628407363 is a wasteful number, since it uses less digits than its factorization.

2628407363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958.

The product of its (nonzero) digits is 290304, while the sum is 41.

The square root of 2628407363 is about 51267.9955040179. The cubic root of 2628407363 is about 1380.0586971813.

The spelling of 2628407363 in words is "two billion, six hundred twenty-eight million, four hundred seven thousand, three hundred sixty-three".