2728212469632 has 192 divisors, whose sum is σ = 8660828882160. Its totient is φ = 818975416320.

The previous prime is 2728212469627. The next prime is 2728212469643. The reversal of 2728212469632 is 2369642128272.

2728212469632 is a `hidden beast` number, since 2 + 7 + 282 + 1 + 246 + 96 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1607598 + ... + 2835629.

Almost surely, 2^{2728212469632} is an apocalyptic number.

It is an amenable number.

2728212469632 is an abundant number, since it is smaller than the sum of its proper divisors (5932616412528).

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

2728212469632 is a wasteful number, since it uses less digits than its factorization.

2728212469632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443301 (or 4443286 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 2728212469632 in words is "two trillion, seven hundred twenty-eight billion, two hundred twelve million, four hundred sixty-nine thousand, six hundred thirty-two".