2728265004 has 96 divisors (see below), whose sum is σ = 7355006400. Its totient is φ = 884737728.

The previous prime is 2728264997. The next prime is 2728265021. The reversal of 2728265004 is 4005628272.

2728265004 is a `hidden beast` number, since 2 + 72 + 82 + 6 + 500 + 4 = 666.

It is a super-2 number, since 2×2728265004² = 14886859864102240032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2728265004.

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 31 ways as a sum of consecutive naturals, for example, 319462 + ... + 327890.

It is an arithmetic number, because the mean of its divisors is an integer number (76614650).

Almost surely, 2^2728265004 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 2728265004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677503200).

2728265004 is an abundant number, since it is smaller than the sum of its proper divisors (4626741396).

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

2728265004 is an equidigital number, since it uses as much as digits as its factorization.

2728265004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8491 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2728265004 is about 52232.7962491000. The cubic root of 2728265004 is about 1397.3188488560.

The spelling of 2728265004 in words is "two billion, seven hundred twenty-eight million, two hundred sixty-five thousand, four".