28959273504 has 288 divisors, whose sum is σ = 100611673344. Its totient is φ = 7720796160.

The previous prime is 28959273493. The next prime is 28959273517. The reversal of 28959273504 is 40537295982.

28959273504 is a `hidden beast` number, since 2 + 89 + 59 + 2 + 7 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1893472 + ... + 1908704.

It is an arithmetic number, because the mean of its divisors is an integer number (349346088).

Almost surely, 2^28959273504 is an apocalyptic number.

28959273504 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 28959273504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50305836672).

28959273504 is an abundant number, since it is smaller than the sum of its proper divisors (71652399840).

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

28959273504 is a wasteful number, since it uses less digits than its factorization.

28959273504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15320 (or 15309 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 28959273504 in words is "twenty-eight billion, nine hundred fifty-nine million, two hundred seventy-three thousand, five hundred four".