2728724904 has 144 divisors (see below), whose sum is σ = 7726036500. Its totient is φ = 869944320.

The previous prime is 2728724897. The next prime is 2728724941. The reversal of 2728724904 is 4094278272.

It can be written as a sum of positive squares in 2 ways, for example, as 2616322500 + 112402404 = 51150^2 + 10602^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2728724904.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7818522 + ... + 7818870.

Almost surely, 2^2728724904 is an apocalyptic number.

2728724904 is a gapful number since it is divisible by the number (24) 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 2728724904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863018250).

2728724904 is an abundant number, since it is smaller than the sum of its proper divisors (4997311596).

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

2728724904 is a wasteful number, since it uses less digits than its factorization.

2728724904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2728724904 is about 52237.1984700558. The cubic root of 2728724904 is about 1397.3973591709.

The spelling of 2728724904 in words is "two billion, seven hundred twenty-eight million, seven hundred twenty-four thousand, nine hundred four".