2728867752 has 512 divisors, whose sum is σ = 9289728000. Its totient is φ = 734469120.

The previous prime is 2728867751. The next prime is 2728867753. The reversal of 2728867752 is 2577688272.

2728867752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2728867751) and next prime (2728867753).

It is a super-3 number, since 3×2728867752³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2728867751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58060993 + ... + 58061039.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 2^2728867752 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 2728867752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864000).

2728867752 is an abundant number, since it is smaller than the sum of its proper divisors (6560860248).

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

2728867752 is a wasteful number, since it uses less digits than its factorization.

2728867752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 2728867752 is about 52238.5657536652. The cubic root of 2728867752 is about 1397.4217432015.

The spelling of 2728867752 in words is "two billion, seven hundred twenty-eight million, eight hundred sixty-seven thousand, seven hundred fifty-two".