28065508698960 has 120 divisors (see below), whose sum is σ = 94336820022120. Its totient is φ = 7477506441216.

The previous prime is 28065508698949. The next prime is 28065508698967. The reversal of 28065508698960 is 6989680556082.

28065508698960 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 550 + 8 + 6 + 9 + 8 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2076434888256 + 25989073810704 = 1440984^2 + 5097948^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (28065508698967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16450129 + ... + 18075888.

It is an arithmetic number, because the mean of its divisors is an integer number (786140166851).

Almost surely, 2^{28065508698960} is an apocalyptic number.

28065508698960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28065508698960 is an abundant number, since it is smaller than the sum of its proper divisors (66271311323160).

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

28065508698960 is a wasteful number, since it uses less digits than its factorization.

28065508698960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34527165 (or 34527156 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 28065508698960 in words is "twenty-eight trillion, sixty-five billion, five hundred eight million, six hundred ninety-eight thousand, nine hundred sixty".