428061874531257 has 24 divisors (see below), whose sum is σ = 624824467338240. Its totient is φ = 282380500412640.

The previous prime is 428061874531237. The next prime is 428061874531397. The reversal of 428061874531257 is 752135478160824.

428061874531257 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 6 + 1 + 8 + 74 + 531 + 25 + 7 = 666.

It is not a de Polignac number, because 428061874531257 - 2⁴⁰ = 426962362903481 is a prime.

It is a super-2 number, since 2×428061874531257² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 428061874531194 and 428061874531203.

It is not an unprimeable number, because it can be changed into a prime (428061874531237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493639794 + ... + 494506187.

It is an arithmetic number, because the mean of its divisors is an integer number (26034352805760).

Almost surely, 2^{428061874531257} is an apocalyptic number.

It is an amenable number.

428061874531257 is a deficient number, since it is larger than the sum of its proper divisors (196762592806983).

428061874531257 is a wasteful number, since it uses less digits than its factorization.

428061874531257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988146493 (or 988146490 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 428061874531257 in words is "four hundred twenty-eight trillion, sixty-one billion, eight hundred seventy-four million, five hundred thirty-one thousand, two hundred fifty-seven".