2728272 has 40 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 899584.

The previous prime is 2728261. The next prime is 2728277.

2728272 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728277) 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, 5173 + ... + 5675.

2^2728272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2728272 is an abundant number, since it is smaller than the sum of its proper divisors (4396272).

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

2728272 is a wasteful number, since it uses less digits than its factorization.

2728272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 2728272 is about 1651.7481648242. The cubic root of 2728272 is about 139.7320043221.

The spelling of 2728272 in words is "two million, seven hundred twenty-eight thousand, two hundred seventy-two".