28759636556064 has 72 divisors (see below), whose sum is σ = 82704151546380. Its totient is φ = 9478831515648.

The previous prime is 28759636556041. The next prime is 28759636556071. The reversal of 28759636556064 is 46065563695782.

28759636556064 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 9 + 6 + 3 + 6 + 5 + 5 + 606 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27507717248400 + 1251919307664 = 5244780^2 + 1118892^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 28759636555983 and 28759636556001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560984757 + ... + 561036020.

Almost surely, 2^{28759636556064} is an apocalyptic number.

28759636556064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28759636556064 is an abundant number, since it is smaller than the sum of its proper divisors (53944514990316).

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

28759636556064 is a wasteful number, since it uses less digits than its factorization.

28759636556064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122020882 (or 1122020871 counting only the distinct ones).

The product of its (nonzero) digits is 1959552000, while the sum is 72.

The spelling of 28759636556064 in words is "twenty-eight trillion, seven hundred fifty-nine billion, six hundred thirty-six million, five hundred fifty-six thousand, sixty-four".