2028768768 has 400 divisors, whose sum is σ = 6737756256. Its totient is φ = 603832320.

The previous prime is 2028768761. The next prime is 2028768787. The reversal of 2028768768 is 8678678202.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028768761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28574173 + ... + 28574243.

Almost surely, 2^2028768768 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 2028768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368878128).

2028768768 is an abundant number, since it is smaller than the sum of its proper divisors (4708987488).

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

2028768768 is an equidigital number, since it uses as much as digits as its factorization.

2028768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 2028768768 is about 45041.8557344166. The cubic root of 2028768768 is about 1265.9333762473.

The spelling of 2028768768 in words is "two billion, twenty-eight million, seven hundred sixty-eight thousand, seven hundred sixty-eight".