28829338944 has 168 divisors, whose sum is σ = 91791678240. Its totient is φ = 7952845824.

The previous prime is 28829338943. The next prime is 28829338999. The reversal of 28829338944 is 44983392882.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×28829338944² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28829338943) 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 23 ways as a sum of consecutive naturals, for example, 219999 + ... + 325665.

Almost surely, 2^28829338944 is an apocalyptic number.

28829338944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28829338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45895839120).

28829338944 is an abundant number, since it is smaller than the sum of its proper divisors (62962339296).

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

28829338944 is a wasteful number, since it uses less digits than its factorization.

28829338944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105725 (or 105708 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 60.

The spelling of 28829338944 in words is "twenty-eight billion, eight hundred twenty-nine million, three hundred thirty-eight thousand, nine hundred forty-four".