2028384768 has 80 divisors (see below), whose sum is σ = 5456632896. Its totient is φ = 669511680.

The previous prime is 2028384737. The next prime is 2028384773. The reversal of 2028384768 is 8674838202.

It is a happy number.

It is a super-2 number, since 2×2028384768² = 8228689534108827648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 151798 + ... + 164618.

Almost surely, 2^2028384768 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 2028384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728316448).

2028384768 is an abundant number, since it is smaller than the sum of its proper divisors (3428248128).

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

2028384768 is a wasteful number, since it uses less digits than its factorization.

2028384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12945 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 2028384768 is about 45037.5928308785. The cubic root of 2028384768 is about 1265.8535003644.

The spelling of 2028384768 in words is "two billion, twenty-eight million, three hundred eighty-four thousand, seven hundred sixty-eight".