2728600 has 48 divisors (see below), whose sum is σ = 7254000. Its totient is φ = 935040.

The previous prime is 2728577. The next prime is 2728603. The reversal of 2728600 is 68272.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426 + ... + 2374.

It is an arithmetic number, because the mean of its divisors is an integer number (151125).

2^2728600 is an apocalyptic number.

2728600 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 2728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627000).

2728600 is an abundant number, since it is smaller than the sum of its proper divisors (4525400).

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

2728600 is a wasteful number, since it uses less digits than its factorization.

2728600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2728600 is about 1651.8474505837. The cubic root of 2728600 is about 139.7376037468.

The spelling of 2728600 in words is "two million, seven hundred twenty-eight thousand, six hundred".