28829338272 has 432 divisors, whose sum is σ = 98621542656. Its totient is φ = 7821619200.

The previous prime is 28829338253. The next prime is 28829338273. The reversal of 28829338272 is 27283392882.

It is a happy number.

28829338272 is a `hidden beast` number, since 2 + 88 + 293 + 3 + 8 + 272 = 666.

It is a super-2 number, since 2×28829338272² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28829338273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159278022 + ... + 159278202.

It is an arithmetic number, because the mean of its divisors is an integer number (228290608).

Almost surely, 2^28829338272 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 28829338272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49310771328).

28829338272 is an abundant number, since it is smaller than the sum of its proper divisors (69792204384).

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

28829338272 is a wasteful number, since it uses less digits than its factorization.

28829338272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 281 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 28829338272 in words is "twenty-eight billion, eight hundred twenty-nine million, three hundred thirty-eight thousand, two hundred seventy-two".