3028937172768 has 288 divisors, whose sum is σ = 9482409518400. Its totient is φ = 911455193088.

The previous prime is 3028937172757. The next prime is 3028937172839. The reversal of 3028937172768 is 8672717398203.

3028937172768 is a `hidden beast` number, since 302 + 8 + 93 + 7 + 172 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 34824438 + ... + 34911306.

It is an arithmetic number, because the mean of its divisors is an integer number (32925033050).

Almost surely, 2^{3028937172768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3028937172768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741204759200).

3028937172768 is an abundant number, since it is smaller than the sum of its proper divisors (6453472345632).

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

3028937172768 is a wasteful number, since it uses less digits than its factorization.

3028937172768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87104 (or 87093 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 3028937172768 in words is "three trillion, twenty-eight billion, nine hundred thirty-seven million, one hundred seventy-two thousand, seven hundred sixty-eight".