2828137 has 16 divisors (see below), whose sum is σ = 3290112. Its totient is φ = 2407680.

The previous prime is 2828129. The next prime is 2828141. The reversal of 2828137 is 7318282.

It is a cyclic number.

It is not a de Polignac number, because 2828137 - 2³ = 2828129 is a prime.

2828137 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2828099 and 2828108.

It is not an unprimeable number, because it can be changed into a prime (2828107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14712 + ... + 14902.

It is an arithmetic number, because the mean of its divisors is an integer number (205632).

2^2828137 is an apocalyptic number.

It is an amenable number.

2828137 is a deficient number, since it is larger than the sum of its proper divisors (461975).

2828137 is a wasteful number, since it uses less digits than its factorization.

2828137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 5376, while the sum is 31.

The square root of 2828137 is about 1681.7065736923. The cubic root of 2828137 is about 141.4165206595.

The spelling of 2828137 in words is "two million, eight hundred twenty-eight thousand, one hundred thirty-seven".