28721596958208 has 960 divisors, whose sum is σ = 113479109872128. Its totient is φ = 7021282590720.

The previous prime is 28721596958207. The next prime is 28721596958347. The reversal of 28721596958208 is 80285969512782.

28721596958208 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 1 + 596 + 9 + 5 + 8 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28721596958207) 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 95 ways as a sum of consecutive naturals, for example, 162772366 + ... + 162948722.

Almost surely, 2^{28721596958208} is an apocalyptic number.

28721596958208 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 28721596958208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56739554936064).

28721596958208 is an abundant number, since it is smaller than the sum of its proper divisors (84757512913920).

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

28721596958208 is a wasteful number, since it uses less digits than its factorization.

28721596958208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176425 (or 176397 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 28721596958208 in words is "twenty-eight trillion, seven hundred twenty-one billion, five hundred ninety-six million, nine hundred fifty-eight thousand, two hundred eight".