462728295513 has 64 divisors (see below), whose sum is σ = 768427488000. Its totient is φ = 272729825280.

The previous prime is 462728295511. The next prime is 462728295559. The reversal of 462728295513 is 315592827264.

462728295513 is a `hidden beast` number, since 4 + 6 + 2 + 7 + 2 + 82 + 9 + 551 + 3 = 666.

It is not a de Polignac number, because 462728295513 - 2¹ = 462728295511 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 462728295513.

It is not an unprimeable number, because it can be changed into a prime (462728295511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25628313 + ... + 25646361.

It is an arithmetic number, because the mean of its divisors is an integer number (12006679500).

Almost surely, 2^462728295513 is an apocalyptic number.

It is an amenable number.

462728295513 is a deficient number, since it is larger than the sum of its proper divisors (305699192487).

462728295513 is a wasteful number, since it uses less digits than its factorization.

462728295513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20439 (or 20433 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 462728295513 in words is "four hundred sixty-two billion, seven hundred twenty-eight million, two hundred ninety-five thousand, five hundred thirteen".