428610641 has 2 divisors, whose sum is σ = 428610642. Its totient is φ = 428610640.

The previous prime is 428610617. The next prime is 428610643. The reversal of 428610641 is 146016824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 428324416 + 286225 = 20696^2 + 535^2 .

It is a cyclic number.

It is not a de Polignac number, because 428610641 - 2⁶ = 428610577 is a prime.

It is a Sophie Germain prime.

Together with 428610643, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 428610598 and 428610607.

It is not a weakly prime, because it can be changed into another prime (428610643) 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 as a sum of consecutive naturals, namely, 214305320 + 214305321.

It is an arithmetic number, because the mean of its divisors is an integer number (214305321).

Almost surely, 2^428610641 is an apocalyptic number.

It is an amenable number.

428610641 is a deficient number, since it is larger than the sum of its proper divisors (1).

428610641 is an equidigital number, since it uses as much as digits as its factorization.

428610641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 428610641 is about 20702.9138287344. The cubic root of 428610641 is about 753.9704347358.

The spelling of 428610641 in words is "four hundred twenty-eight million, six hundred ten thousand, six hundred forty-one".