2828034 has 72 divisors (see below), whose sum is σ = 7246512. Its totient is φ = 819720.

The previous prime is 2827987. The next prime is 2828053. The reversal of 2828034 is 4308282.

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

It is a junction number, because it is equal to n+sod(n) for n = 2827989 and 2828007.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122947 + ... + 122969.

It is an arithmetic number, because the mean of its divisors is an integer number (100646).

2^2828034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623256).

2828034 is an abundant number, since it is smaller than the sum of its proper divisors (4418478).

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

2828034 is a wasteful number, since it uses less digits than its factorization.

2828034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2828034 is about 1681.6759497596. The cubic root of 2828034 is about 141.4148038546.

The spelling of 2828034 in words is "two million, eight hundred twenty-eight thousand, thirty-four".