2735328 has 24 divisors (see below), whose sum is σ = 7180488. Its totient is φ = 911744.

The previous prime is 2735323. The next prime is 2735329. The reversal of 2735328 is 8235372.

2735328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a d-powerful number, because it can be written as 2¹⁴ + 7⁵ + 3¹⁰ + 5³ + 3¹³ + 2²⁰ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 2735295 and 2735304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735323) 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 3 ways as a sum of consecutive naturals, for example, 14151 + ... + 14342.

It is an arithmetic number, because the mean of its divisors is an integer number (299187).

2^2735328 is an apocalyptic number.

It is an amenable number.

2735328 is an abundant number, since it is smaller than the sum of its proper divisors (4445160).

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

2735328 is a wasteful number, since it uses less digits than its factorization.

2735328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28506 (or 28498 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2735328 is about 1653.8827044262. The cubic root of 2735328 is about 139.8523613675.

The spelling of 2735328 in words is "two million, seven hundred thirty-five thousand, three hundred twenty-eight".