2752083828 has 144 divisors (see below), whose sum is σ = 8147739600. Its totient is φ = 775360512.

The previous prime is 2752083821. The next prime is 2752083853. The reversal of 2752083828 is 8283802572.

2752083828 is a `hidden beast` number, since 27 + 520 + 83 + 8 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 388957284 + 2363126544 = 19722^2 + 48612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752083821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289698 + ... + 299046.

It is an arithmetic number, because the mean of its divisors is an integer number (56581525).

Almost surely, 2^2752083828 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 2752083828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073869800).

2752083828 is an abundant number, since it is smaller than the sum of its proper divisors (5395655772).

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

2752083828 is a wasteful number, since it uses less digits than its factorization.

2752083828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2752083828 is about 52460.3071664663. The cubic root of 2752083828 is about 1401.3734528306.

The spelling of 2752083828 in words is "two billion, seven hundred fifty-two million, eighty-three thousand, eight hundred twenty-eight".