2728635 has 32 divisors (see below), whose sum is σ = 5376000. Its totient is φ = 1150848.

The previous prime is 2728631. The next prime is 2728643. The reversal of 2728635 is 5368272.

2728635 = T₇₄ + T₇₅ + ... + T₂₅₅.

It is not a de Polignac number, because 2728635 - 2² = 2728631 is a prime.

It is a d-powerful number, because it can be written as 2⁶ + 7³ + 2²⁰ + 8 + 6⁸ + 3 + 5² .

2728635 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2728596 and 2728605.

It is not an unprimeable number, because it can be changed into a prime (2728631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366 + ... + 2364.

It is an arithmetic number, because the mean of its divisors is an integer number (168000).

2^2728635 is an apocalyptic number.

2728635 is a deficient number, since it is larger than the sum of its proper divisors (2647365).

2728635 is a wasteful number, since it uses less digits than its factorization.

2728635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027.

The product of its digits is 20160, while the sum is 33.

The square root of 2728635 is about 1651.8580447484. The cubic root of 2728635 is about 139.7382012199.

The spelling of 2728635 in words is "two million, seven hundred twenty-eight thousand, six hundred thirty-five".