2735028 has 72 divisors (see below), whose sum is σ = 7567560. Its totient is φ = 829440.

The previous prime is 2735023. The next prime is 2735081. The reversal of 2735028 is 8205372.

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 2396304 = 582^2 + 1548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2734992 and 2735010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735021) 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 23 ways as a sum of consecutive naturals, for example, 25038 + ... + 25146.

It is an arithmetic number, because the mean of its divisors is an integer number (105105).

2^2735028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2735028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783780).

2735028 is an abundant number, since it is smaller than the sum of its proper divisors (4832532).

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

2735028 is a wasteful number, since it uses less digits than its factorization.

2735028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2735028 is about 1653.7920062692. The cubic root of 2735028 is about 139.8472483619.

The spelling of 2735028 in words is "two million, seven hundred thirty-five thousand, twenty-eight".