2683012728 has 128 divisors (see below), whose sum is σ = 7479993600. Its totient is φ = 795110400.

The previous prime is 2683012723. The next prime is 2683012733. The reversal of 2683012728 is 8272103862.

It is an interprime number because it is at equal distance from previous prime (2683012723) and next prime (2683012733).

It is a super-2 number, since 2×2683012728² = 14397114597220003968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683012723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4376550 + ... + 4377162.

It is an arithmetic number, because the mean of its divisors is an integer number (58437450).

Almost surely, 2^2683012728 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 2683012728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739996800).

2683012728 is an abundant number, since it is smaller than the sum of its proper divisors (4796980872).

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

2683012728 is a wasteful number, since it uses less digits than its factorization.

2683012728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2683012728 is about 51797.8062083714. The cubic root of 2683012728 is about 1389.5502103851.

The spelling of 2683012728 in words is "two billion, six hundred eighty-three million, twelve thousand, seven hundred twenty-eight".