2728135488 has 112 divisors (see below), whose sum is σ = 7808463936. Its totient is φ = 835645440.

The previous prime is 2728135477. The next prime is 2728135489. The reversal of 2728135488 is 8845318272.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728135489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579223 + ... + 583913.

It is an arithmetic number, because the mean of its divisors is an integer number (69718428).

Almost surely, 2^2728135488 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 2728135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904231968).

2728135488 is an abundant number, since it is smaller than the sum of its proper divisors (5080328448).

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

2728135488 is a wasteful number, since it uses less digits than its factorization.

2728135488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4942 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 2728135488 is about 52231.5564386129. The cubic root of 2728135488 is about 1397.2967373662.

The spelling of 2728135488 in words is "two billion, seven hundred twenty-eight million, one hundred thirty-five thousand, four hundred eighty-eight".