2728415382 has 64 divisors (see below), whose sum is σ = 6811098624. Its totient is φ = 707869440.

The previous prime is 2728415359. The next prime is 2728415387. The reversal of 2728415382 is 2835148272.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728415387) 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 31 ways as a sum of consecutive naturals, for example, 474388 + ... + 480104.

It is an arithmetic number, because the mean of its divisors is an integer number (106423416).

Almost surely, 2^2728415382 is an apocalyptic number.

2728415382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728415382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405549312).

2728415382 is an abundant number, since it is smaller than the sum of its proper divisors (4082683242).

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

2728415382 is a wasteful number, since it uses less digits than its factorization.

2728415382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773.

The product of its digits is 215040, while the sum is 42.

The square root of 2728415382 is about 52234.2357271550. The cubic root of 2728415382 is about 1397.3445211121.

The spelling of 2728415382 in words is "two billion, seven hundred twenty-eight million, four hundred fifteen thousand, three hundred eighty-two".