2728381152 has 288 divisors, whose sum is σ = 8894188800. Its totient is φ = 730211328.

The previous prime is 2728381109. The next prime is 2728381211. The reversal of 2728381152 is 2511838272.

2728381152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (53760) is a multiple of the sum of its prime divisors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 2728381152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30655924 + ... + 30656012.

It is an arithmetic number, because the mean of its divisors is an integer number (30882600).

Almost surely, 2^2728381152 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 2728381152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447094400).

2728381152 is an abundant number, since it is smaller than the sum of its proper divisors (6165807648).

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

2728381152 is an frugal number, since it uses more digits than its factorization.

2728381152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 2728381152 is about 52233.9080674613. The cubic root of 2728381152 is about 1397.3386775123.

The spelling of 2728381152 in words is "two billion, seven hundred twenty-eight million, three hundred eighty-one thousand, one hundred fifty-two".