2028265888968 has 72 divisors (see below), whose sum is σ = 6038002302150. Its totient is φ = 614626024320.

The previous prime is 2028265888967. The next prime is 2028265888981. The reversal of 2028265888968 is 8698885628202.

2028265888968 is a `hidden beast` number, since 202 + 8 + 265 + 88 + 89 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2022374098404 + 5891790564 = 1422102^2 + 76758^2 .

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

It is a super-2 number, since 2×2028265888968² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2028265888896 and 2028265888905.

It is not an unprimeable number, because it can be changed into a prime (2028265888967) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 116397733 + ... + 116415156.

Almost surely, 2^{2028265888968} is an apocalyptic number.

It is an amenable number.

2028265888968 is an abundant number, since it is smaller than the sum of its proper divisors (4009736413182).

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

2028265888968 is a wasteful number, since it uses less digits than its factorization.

2028265888968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232812923 (or 232812905 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 2028265888968 in words is "two trillion, twenty-eight billion, two hundred sixty-five million, eight hundred eighty-eight thousand, nine hundred sixty-eight".