428516657 has 16 divisors (see below), whose sum is σ = 455549952. Its totient is φ = 402233040.

The previous prime is 428516651. The next prime is 428516663. The reversal of 428516657 is 756615824.

It is an interprime number because it is at equal distance from previous prime (428516651) and next prime (428516663).

It is a cyclic number.

It is not a de Polignac number, because 428516657 - 2⁶ = 428516593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428516651) 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, 750182 + ... + 750752.

It is an arithmetic number, because the mean of its divisors is an integer number (28471872).

Almost surely, 2^428516657 is an apocalyptic number.

It is an amenable number.

428516657 is a deficient number, since it is larger than the sum of its proper divisors (27033295).

428516657 is a wasteful number, since it uses less digits than its factorization.

428516657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148.

The product of its digits is 403200, while the sum is 44.

The square root of 428516657 is about 20700.6438788749. The cubic root of 428516657 is about 753.9153215161.

The spelling of 428516657 in words is "four hundred twenty-eight million, five hundred sixteen thousand, six hundred fifty-seven".