28775165760 has 336 divisors, whose sum is σ = 111974571072. Its totient is φ = 6975590400.

The previous prime is 28775165711. The next prime is 28775165779. The reversal of 28775165760 is 6756157782.

It is a happy number.

28775165760 is a `hidden beast` number, since 2 + 8 + 77 + 516 + 57 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28775165697 and 28775165706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838540 + ... + 872180.

It is an arithmetic number, because the mean of its divisors is an integer number (333257652).

Almost surely, 2^28775165760 is an apocalyptic number.

28775165760 is a gapful number since it is divisible by the number (20) 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 28775165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55987285536).

28775165760 is an abundant number, since it is smaller than the sum of its proper divisors (83199405312).

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

28775165760 is a wasteful number, since it uses less digits than its factorization.

28775165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33684 (or 33662 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 28775165760 in words is "twenty-eight billion, seven hundred seventy-five million, one hundred sixty-five thousand, seven hundred sixty".