2728033536 has 72 divisors (see below), whose sum is σ = 7269363360. Its totient is φ = 908240896.

The previous prime is 2728033531. The next prime is 2728033541. The reversal of 2728033536 is 6353308272.

It is an interprime number because it is at equal distance from previous prime (2728033531) and next prime (2728033541).

It is a junction number, because it is equal to n+sod(n) for n = 2728033494 and 2728033503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728033531) 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 7 ways as a sum of consecutive naturals, for example, 850111 + ... + 853313.

It is an arithmetic number, because the mean of its divisors is an integer number (100963380).

Almost surely, 2^2728033536 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 2728033536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634681680).

2728033536 is an abundant number, since it is smaller than the sum of its proper divisors (4541329824).

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

2728033536 is a wasteful number, since it uses less digits than its factorization.

2728033536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 2728033536 is about 52230.5804677681. The cubic root of 2728033536 is about 1397.2793312205.

The spelling of 2728033536 in words is "two billion, seven hundred twenty-eight million, thirty-three thousand, five hundred thirty-six".