2028689338368 has 1248 divisors, whose sum is σ = 7400868618240. Its totient is φ = 488577761280.

The previous prime is 2028689338367. The next prime is 2028689338369. The reversal of 2028689338368 is 8638339868202.

It is an interprime number because it is at equal distance from previous prime (2028689338367) and next prime (2028689338369).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2028689338299 and 2028689338308.

It is not an unprimeable number, because it can be changed into a prime (2028689338367) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 43163602921 + ... + 43163602967.

Almost surely, 2^{2028689338368} is an apocalyptic number.

2028689338368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028689338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700434309120).

2028689338368 is an abundant number, since it is smaller than the sum of its proper divisors (5372179279872).

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

2028689338368 is an frugal number, since it uses more digits than its factorization.

2028689338368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 66.

The spelling of 2028689338368 in words is "two trillion, twenty-eight billion, six hundred eighty-nine million, three hundred thirty-eight thousand, three hundred sixty-eight".