2728960 has 88 divisors (see below), whose sum is σ = 7221816. Its totient is φ = 983040.

The previous prime is 2728939. The next prime is 2728967. The reversal of 2728960 is 698272.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 2663424 = 256^2 + 1632^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2728967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66540 + ... + 66580.

2^2728960 is an apocalyptic number.

2728960 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 2728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610908).

2728960 is an abundant number, since it is smaller than the sum of its proper divisors (4492856).

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

2728960 is a wasteful number, since it uses less digits than its factorization.

2728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2728960 is about 1651.9564158900. The cubic root of 2728960 is about 139.7437489403.

The spelling of 2728960 in words is "two million, seven hundred twenty-eight thousand, nine hundred sixty".