28915153344 has 336 divisors, whose sum is σ = 108772634880. Its totient is φ = 7114936320.

The previous prime is 28915153339. The next prime is 28915153391. The reversal of 28915153344 is 44335151982.

28915153344 is a `hidden beast` number, since 2 + 8 + 91 + 515 + 3 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 28915153344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825532 + ... + 859844.

It is an arithmetic number, because the mean of its divisors is an integer number (323728080).

Almost surely, 2^28915153344 is an apocalyptic number.

28915153344 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 28915153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54386317440).

28915153344 is an abundant number, since it is smaller than the sum of its proper divisors (79857481536).

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

28915153344 is a wasteful number, since it uses less digits than its factorization.

28915153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34368 (or 34355 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 28915153344 in words is "twenty-eight billion, nine hundred fifteen million, one hundred fifty-three thousand, three hundred forty-four".