28535772960 has 384 divisors, whose sum is σ = 106201186560. Its totient is φ = 7131414528.

The previous prime is 28535772913. The next prime is 28535772997. The reversal of 28535772960 is 6927753582.

28535772960 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 577 + 2 + 9 + 60 = 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 = 28535772897 and 28535772906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20782834 + ... + 20784206.

It is an arithmetic number, because the mean of its divisors is an integer number (276565590).

Almost surely, 2^28535772960 is an apocalyptic number.

28535772960 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 28535772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53100593280).

28535772960 is an abundant number, since it is smaller than the sum of its proper divisors (77665413600).

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

28535772960 is a wasteful number, since it uses less digits than its factorization.

28535772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 28535772960 in words is "twenty-eight billion, five hundred thirty-five million, seven hundred seventy-two thousand, nine hundred sixty".