28738243968 has 256 divisors, whose sum is σ = 90402877440. Its totient is φ = 7915438080.

The previous prime is 28738243909. The next prime is 28738243973. The reversal of 28738243968 is 86934283782.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 29414296 + ... + 29415272.

It is an arithmetic number, because the mean of its divisors is an integer number (353136240).

Almost surely, 2^28738243968 is an apocalyptic number.

28738243968 is a gapful number since it is divisible by the number (28) 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 28738243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45201438720).

28738243968 is an abundant number, since it is smaller than the sum of its proper divisors (61664633472).

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

28738243968 is a wasteful number, since it uses less digits than its factorization.

28738243968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1373 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The spelling of 28738243968 in words is "twenty-eight billion, seven hundred thirty-eight million, two hundred forty-three thousand, nine hundred sixty-eight".