28597992062976 has 1536 divisors, whose sum is σ = 102228056985600. Its totient is φ = 7530872832000.

The previous prime is 28597992062933. The next prime is 28597992063007. The reversal of 28597992062976 is 67926029979582.

28597992062976 is a `hidden beast` number, since 2 + 8 + 59 + 79 + 9 + 206 + 297 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 28597992062895 and 28597992062904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149727707041 + ... + 149727707231.

It is an arithmetic number, because the mean of its divisors is an integer number (66554724600).

Almost surely, 2^{28597992062976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28597992062976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51114028492800).

28597992062976 is an abundant number, since it is smaller than the sum of its proper divisors (73630064922624).

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

28597992062976 is a wasteful number, since it uses less digits than its factorization.

28597992062976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 28597992062976 in words is "twenty-eight trillion, five hundred ninety-seven billion, nine hundred ninety-two million, sixty-two thousand, nine hundred seventy-six".