628381436832 has 72 divisors (see below), whose sum is σ = 1848579035940. Its totient is φ = 202237701120.

The previous prime is 628381436801. The next prime is 628381436843. The reversal of 628381436832 is 238634183826.

628381436832 is a `hidden beast` number, since 628 + 3 + 8 + 1 + 4 + 3 + 6 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 601065280656 + 27316156176 = 775284^2 + 165276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37610269 + ... + 37626972.

Almost surely, 2^628381436832 is an apocalyptic number.

It is an amenable number.

628381436832 is an abundant number, since it is smaller than the sum of its proper divisors (1220197599108).

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

628381436832 is a wasteful number, since it uses less digits than its factorization.

628381436832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75237286 (or 75237275 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 628381436832 in words is "six hundred twenty-eight billion, three hundred eighty-one million, four hundred thirty-six thousand, eight hundred thirty-two".