2728183392 has 288 divisors, whose sum is σ = 9043332480. Its totient is φ = 771010560.

The previous prime is 2728183391. The next prime is 2728183399. The reversal of 2728183392 is 2933818272.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728183391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9640083 + ... + 9640365.

It is an arithmetic number, because the mean of its divisors is an integer number (31400460).

Almost surely, 2^2728183392 is an apocalyptic number.

2728183392 is a gapful number since it is divisible by the number (22) 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 2728183392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521666240).

2728183392 is an abundant number, since it is smaller than the sum of its proper divisors (6315149088).

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

2728183392 is a wasteful number, since it uses less digits than its factorization.

2728183392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2728183392 is about 52232.0150099534. The cubic root of 2728183392 is about 1397.3049158103.

The spelling of 2728183392 in words is "two billion, seven hundred twenty-eight million, one hundred eighty-three thousand, three hundred ninety-two".