13628197332 has 36 divisors (see below), whose sum is σ = 34453138356. Its totient is φ = 4542193920.

The previous prime is 13628197313. The next prime is 13628197361. The reversal of 13628197332 is 23379182631.

13628197332 is a `hidden beast` number, since 1 + 3 + 628 + 19 + 7 + 3 + 3 + 2 = 666.

13628197332 is digitally balanced in base 2, 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 2 ways, for example, as 8633383056 + 4994814276 = 92916^2 + 70674^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388588 + ... + 422204.

It is an arithmetic number, because the mean of its divisors is an integer number (957031621).

Almost surely, 2^13628197332 is an apocalyptic number.

13628197332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13628197332 is an abundant number, since it is smaller than the sum of its proper divisors (20824941024).

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

13628197332 is a wasteful number, since it uses less digits than its factorization.

13628197332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44888 (or 44883 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 13628197332 in words is "thirteen billion, six hundred twenty-eight million, one hundred ninety-seven thousand, three hundred thirty-two".