28717908350976 has 864 divisors, whose sum is σ = 98875322844480. Its totient is φ = 7954314559488.

The previous prime is 28717908350969. The next prime is 28717908351007. The reversal of 28717908350976 is 67905380971782.

28717908350976 is a `hidden beast` number, since 28 + 7 + 1 + 7 + 90 + 8 + 3 + 509 + 7 + 6 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 2154860025 + ... + 2154873351.

It is an arithmetic number, because the mean of its divisors is an integer number (114439031070).

Almost surely, 2^{28717908350976} is an apocalyptic number.

28717908350976 is a gapful number since it is divisible by the number (26) 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 28717908350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49437661422240).

28717908350976 is an abundant number, since it is smaller than the sum of its proper divisors (70157414493504).

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

28717908350976 is a wasteful number, since it uses less digits than its factorization.

28717908350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13431 (or 13385 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 28717908350976 in words is "twenty-eight trillion, seven hundred seventeen billion, nine hundred eight million, three hundred fifty thousand, nine hundred seventy-six".