428320793 has 2 divisors, whose sum is σ = 428320794. Its totient is φ = 428320792.

The previous prime is 428320771. The next prime is 428320799. The reversal of 428320793 is 397023824.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363550489 + 64770304 = 19067^2 + 8048^2 .

It is a cyclic number.

It is not a de Polignac number, because 428320793 - 2⁸ = 428320537 is a prime.

It is a super-2 number, since 2×428320793² = 366917403432297698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (428320799) 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, 214160396 + 214160397.

It is an arithmetic number, because the mean of its divisors is an integer number (214160397).

Almost surely, 2^428320793 is an apocalyptic number.

It is an amenable number.

428320793 is a deficient number, since it is larger than the sum of its proper divisors (1).

428320793 is an equidigital number, since it uses as much as digits as its factorization.

428320793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 428320793 is about 20695.9124708238. The cubic root of 428320793 is about 753.8004388763.

The spelling of 428320793 in words is "four hundred twenty-eight million, three hundred twenty thousand, seven hundred ninety-three".