2828970 has 72 divisors (see below), whose sum is σ = 7973316. Its totient is φ = 693504.

The previous prime is 2828951. The next prime is 2828971. The reversal of 2828970 is 798282.

2828970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2812329 + 16641 = 1677^2 + 129^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2828971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65769 + ... + 65811.

2^2828970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986658).

2828970 is an abundant number, since it is smaller than the sum of its proper divisors (5144346).

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

2828970 is a wasteful number, since it uses less digits than its factorization.

2828970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2828970 is about 1681.9542205423. The cubic root of 2828970 is about 141.4304035794.

The spelling of 2828970 in words is "two million, eight hundred twenty-eight thousand, nine hundred seventy".