2728180 has 48 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 862848.

The previous prime is 2728171. The next prime is 2728199. The reversal of 2728180 is 818272.

It is a super-2 number, since 2×2728180² = 14885932224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071 + ... + 2569.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

2^2728180 is an apocalyptic number.

2728180 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 2728180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2728180 is an abundant number, since it is smaller than the sum of its proper divisors (4327820).

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

2728180 is a wasteful number, since it uses less digits than its factorization.

2728180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2728180 is about 1651.7203153076. The cubic root of 2728180 is about 139.7304336712.

The spelling of 2728180 in words is "two million, seven hundred twenty-eight thousand, one hundred eighty".