2728100 has 18 divisors (see below), whose sum is σ = 5920194. Its totient is φ = 1091200.

The previous prime is 2728097. The next prime is 2728129. The reversal of 2728100 is 18272.

It can be written as a sum of positive squares in 3 ways, for example, as 399424 + 2328676 = 632^2 + 1526^2 .

It is a super-2 number, since 2×2728100² = 14885059220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13541 + ... + 13740.

2^2728100 is an apocalyptic number.

2728100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728100 is an abundant number, since it is smaller than the sum of its proper divisors (3192094).

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

2728100 is a wasteful number, since it uses less digits than its factorization.

2728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27295 (or 27288 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2728100 is about 1651.6960979551. The cubic root of 2728100 is about 139.7290678591.

The spelling of 2728100 in words is "two million, seven hundred twenty-eight thousand, one hundred".