2728315800 has 288 divisors, whose sum is σ = 10529326080. Its totient is φ = 620179200.

The previous prime is 2728315789. The next prime is 2728315813. The reversal of 2728315800 is 85138272.

2728315800 is a `hidden beast` number, since 2 + 72 + 8 + 3 + 1 + 580 + 0 = 666.

2728315800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2809315 + ... + 2810285.

It is an arithmetic number, because the mean of its divisors is an integer number (36560160).

Almost surely, 2^2728315800 is an apocalyptic number.

2728315800 is a gapful number since it is divisible by the number (20) 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 2728315800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264663040).

2728315800 is an abundant number, since it is smaller than the sum of its proper divisors (7801010280).

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

2728315800 is a wasteful number, since it uses less digits than its factorization.

2728315800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2728315800 is about 52233.2824930618. The cubic root of 2728315800 is about 1397.3275207614.

It can be divided in two parts, 272831 and 5800, that added together give a triangular number (278631 = T₇₄₆).

The spelling of 2728315800 in words is "two billion, seven hundred twenty-eight million, three hundred fifteen thousand, eight hundred".