406362682728 has 48 divisors (see below), whose sum is σ = 1100662126980. Its totient is φ = 135442347264.

The previous prime is 406362682577. The next prime is 406362682741. The reversal of 406362682728 is 827286263604.

406362682728 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 626 + 8 + 2 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 385022732004 + 21339950724 = 620502^2 + 146082^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599076 + ... + 1082412.

Almost surely, 2^406362682728 is an apocalyptic number.

It is an amenable number.

406362682728 is an abundant number, since it is smaller than the sum of its proper divisors (694299444252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406362682728 is a wasteful number, since it uses less digits than its factorization.

406362682728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495026 (or 495019 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 406362682728 in words is "four hundred six billion, three hundred sixty-two million, six hundred eighty-two thousand, seven hundred twenty-eight".