2000782728 has 256 divisors, whose sum is σ = 6531840000. Its totient is φ = 555731712.

The previous prime is 2000782711. The next prime is 2000782801. The reversal of 2000782728 is 8272870002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2000782692 and 2000782701.

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 63 ways as a sum of consecutive naturals, for example, 13427998 + ... + 13428146.

It is an arithmetic number, because the mean of its divisors is an integer number (25515000).

Almost surely, 2^2000782728 is an apocalyptic number.

2000782728 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 2000782728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920000).

2000782728 is an abundant number, since it is smaller than the sum of its proper divisors (4531057272).

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

2000782728 is a wasteful number, since it uses less digits than its factorization.

2000782728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2000782728 is about 44730.1098590200. The cubic root of 2000782728 is about 1260.0853910383.

The spelling of 2000782728 in words is "two billion, seven hundred eighty-two thousand, seven hundred twenty-eight".