2728249440 has 384 divisors, whose sum is σ = 10204185600. Its totient is φ = 612347904.

The previous prime is 2728249439. The next prime is 2728249453. The reversal of 2728249440 is 449428272.

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

It is a junction number, because it is equal to n+sod(n) for n = 2728249392 and 2728249401.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12018607 + ... + 12018833.

It is an arithmetic number, because the mean of its divisors is an integer number (26573400).

Almost surely, 2^2728249440 is an apocalyptic number.

2728249440 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 2728249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102092800).

2728249440 is an abundant number, since it is smaller than the sum of its proper divisors (7475936160).

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

2728249440 is a wasteful number, since it uses less digits than its factorization.

2728249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2728249440 is about 52232.6472620333. The cubic root of 2728249440 is about 1397.3161917447.

The spelling of 2728249440 in words is "two billion, seven hundred twenty-eight million, two hundred forty-nine thousand, four hundred forty".