462728227653 has 24 divisors (see below), whose sum is σ = 724963029336. Its totient is φ = 283257830400.

The previous prime is 462728227627. The next prime is 462728227667. The reversal of 462728227653 is 356722827264.

462728227653 is a `hidden beast` number, since 4 + 627 + 2 + 8 + 2 + 2 + 7 + 6 + 5 + 3 = 666.

462728227653 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78468334884 + 384259892769 = 280122^2 + 619887^2 .

It is not a de Polignac number, because 462728227653 - 2¹² = 462728223557 is a prime.

It is a super-3 number, since 3×462728227653³ (a number of 36 digits) contains 333 as substring.

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 462728227653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462728227153) 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, 36876258 + ... + 36888803.

It is an arithmetic number, because the mean of its divisors is an integer number (30206792889).

Almost surely, 2^462728227653 is an apocalyptic number.

It is an amenable number.

462728227653 is a deficient number, since it is larger than the sum of its proper divisors (262234801683).

462728227653 is a wasteful number, since it uses less digits than its factorization.

462728227653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73765125 (or 73765122 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 462728227653 in words is "four hundred sixty-two billion, seven hundred twenty-eight million, two hundred twenty-seven thousand, six hundred fifty-three".