2828007 has 32 divisors (see below), whose sum is σ = 5160960. Its totient is φ = 1490400.

The previous prime is 2827987. The next prime is 2828053. The reversal of 2828007 is 7008282.

It is not a de Polignac number, because 2828007 - 2¹¹ = 2825959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1882 + ... + 3032.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

2^2828007 is an apocalyptic number.

2828007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2828007 is a deficient number, since it is larger than the sum of its proper divisors (2332953).

2828007 is a wasteful number, since it uses less digits than its factorization.

2828007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2828007 is about 1681.6679220345. The cubic root of 2828007 is about 141.4143538115.

The spelling of 2828007 in words is "two million, eight hundred twenty-eight thousand, seven".