28968460800 has 480 divisors, whose sum is σ = 99096782400. Its totient is φ = 7456358400.

The previous prime is 28968460777. The next prime is 28968460817. The reversal of 28968460800 is 806486982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×28968460800² (a number of 22 digits) contains 22 as substring.

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, 194419126 + ... + 194419274.

It is an arithmetic number, because the mean of its divisors is an integer number (206451630).

Almost surely, 2^28968460800 is an apocalyptic number.

28968460800 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 28968460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49548391200).

28968460800 is an abundant number, since it is smaller than the sum of its proper divisors (70128321600).

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

28968460800 is a wasteful number, since it uses less digits than its factorization.

28968460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 28968460800 in words is "twenty-eight billion, nine hundred sixty-eight million, four hundred sixty thousand, eight hundred".