2728320 has 192 divisors, whose sum is σ = 10465200. Its totient is φ = 602112.

The previous prime is 2728301. The next prime is 2728321. The reversal of 2728320 is 238272.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94066 + ... + 94094.

2^2728320 is an apocalyptic number.

2728320 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 2728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232600).

2728320 is an abundant number, since it is smaller than the sum of its proper divisors (7736880).

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

2728320 is a wasteful number, since it uses less digits than its factorization.

2728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2728320 is about 1651.7626948203. The cubic root of 2728320 is about 139.7328237782.

The spelling of 2728320 in words is "two million, seven hundred twenty-eight thousand, three hundred twenty".