428107681 has 2 divisors, whose sum is σ = 428107682. Its totient is φ = 428107680.

The previous prime is 428107679. The next prime is 428107727. The reversal of 428107681 is 186701824.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 426629025 + 1478656 = 20655^2 + 1216^2 .

It is a cyclic number.

It is not a de Polignac number, because 428107681 - 2¹ = 428107679 is a prime.

It is a super-2 number, since 2×428107681² = 366552373062395522, which contains 22 as substring.

Together with 428107679, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 428107681.

It is not a weakly prime, because it can be changed into another prime (428107621) 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 as a sum of consecutive naturals, namely, 214053840 + 214053841.

It is an arithmetic number, because the mean of its divisors is an integer number (214053841).

Almost surely, 2^428107681 is an apocalyptic number.

It is an amenable number.

428107681 is a deficient number, since it is larger than the sum of its proper divisors (1).

428107681 is an equidigital number, since it uses as much as digits as its factorization.

428107681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 428107681 is about 20690.7631807046. The cubic root of 428107681 is about 753.6753997530.

The spelling of 428107681 in words is "four hundred twenty-eight million, one hundred seven thousand, six hundred eighty-one".