2028768280 has 192 divisors, whose sum is σ = 5781222720. Its totient is φ = 627179520.

The previous prime is 2028768239. The next prime is 2028768299. The reversal of 2028768280 is 828678202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7893912 + ... + 7894168.

It is an arithmetic number, because the mean of its divisors is an integer number (30110535).

Almost surely, 2^2028768280 is an apocalyptic number.

2028768280 is a gapful number since it is divisible by the number (20) 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 2028768280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890611360).

2028768280 is an abundant number, since it is smaller than the sum of its proper divisors (3752454440).

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

2028768280 is a wasteful number, since it uses less digits than its factorization.

2028768280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 2028768280 is about 45041.8503172328. The cubic root of 2028768280 is about 1265.9332747448.

The spelling of 2028768280 in words is "two billion, twenty-eight million, seven hundred sixty-eight thousand, two hundred eighty".