28965783600 has 480 divisors, whose sum is σ = 112161154560. Its totient is φ = 7057290240.

The previous prime is 28965783577. The next prime is 28965783601. The reversal of 28965783600 is 638756982.

It is a happy number.

28965783600 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 578 + 3 + 60 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28965783601) 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 95 ways as a sum of consecutive naturals, for example, 14460199 + ... + 14462201.

It is an arithmetic number, because the mean of its divisors is an integer number (233669072).

Almost surely, 2^28965783600 is an apocalyptic number.

28965783600 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 28965783600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56080577280).

28965783600 is an abundant number, since it is smaller than the sum of its proper divisors (83195370960).

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

28965783600 is a wasteful number, since it uses less digits than its factorization.

28965783600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 28965783600 in words is "twenty-eight billion, nine hundred sixty-five million, seven hundred eighty-three thousand, six hundred".