28694352960 has 504 divisors, whose sum is σ = 123649822296. Its totient is φ = 6053806080.

The previous prime is 28694352941. The next prime is 28694352977. The reversal of 28694352960 is 6925349682.

It is a happy number.

28694352960 is a `hidden beast` number, since 28 + 6 + 94 + 3 + 529 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6287855616 + 22406497344 = 79296^2 + 149688^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 28694352897 and 28694352906.

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 71 ways as a sum of consecutive naturals, for example, 1826740 + ... + 1842380.

It is an arithmetic number, because the mean of its divisors is an integer number (245336949).

Almost surely, 2^28694352960 is an apocalyptic number.

28694352960 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 28694352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61824911148).

28694352960 is an abundant number, since it is smaller than the sum of its proper divisors (94955469336).

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

28694352960 is a wasteful number, since it uses less digits than its factorization.

28694352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15691 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 28694352960 in words is "twenty-eight billion, six hundred ninety-four million, three hundred fifty-two thousand, nine hundred sixty".