2752128 has 48 divisors (see below), whose sum is σ = 7922850. Its totient is φ = 916992.

The previous prime is 2752121. The next prime is 2752151. The reversal of 2752128 is 8212572.

2752128 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 only one way, i.e., 2585664 + 166464 = 1608^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2752121) 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 5 ways as a sum of consecutive naturals, for example, 43 + ... + 2346.

2^2752128 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 2752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961425).

2752128 is an abundant number, since it is smaller than the sum of its proper divisors (5170722).

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

2752128 is a wasteful number, since it uses less digits than its factorization.

2752128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2394 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2752128 is about 1658.9538872434. The cubic root of 2752128 is about 140.1380950317.

The spelling of 2752128 in words is "two million, seven hundred fifty-two thousand, one hundred twenty-eight".