28343208960 has 1056 divisors, whose sum is σ = 118025107200. Its totient is φ = 6449725440.

The previous prime is 28343208853. The next prime is 28343208967. The reversal of 28343208960 is 6980234382.

28343208960 is a `hidden beast` number, since 2 + 83 + 432 + 0 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×28343208960³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28343208967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260029386 + ... + 260029494.

It is an arithmetic number, because the mean of its divisors is an integer number (111766200).

Almost surely, 2^28343208960 is an apocalyptic number.

28343208960 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 28343208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59012553600).

28343208960 is an abundant number, since it is smaller than the sum of its proper divisors (89681898240).

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

28343208960 is a wasteful number, since it uses less digits than its factorization.

28343208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 28343208960 in words is "twenty-eight billion, three hundred forty-three million, two hundred eight thousand, nine hundred sixty".