428800093 has 2 divisors, whose sum is σ = 428800094. Its totient is φ = 428800092.

The previous prime is 428800069. The next prime is 428800103. The reversal of 428800093 is 390008824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 421193529 + 7606564 = 20523^2 + 2758^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-428800093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (428800013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214400046 + 214400047.

It is an arithmetic number, because the mean of its divisors is an integer number (214400047).

Almost surely, 2^428800093 is an apocalyptic number.

It is an amenable number.

428800093 is a deficient number, since it is larger than the sum of its proper divisors (1).

428800093 is an equidigital number, since it uses as much as digits as its factorization.

428800093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 428800093 is about 20707.4888144362. The cubic root of 428800093 is about 754.0815069245.

The spelling of 428800093 in words is "four hundred twenty-eight million, eight hundred thousand, ninety-three".