283128943104 has 960 divisors, whose sum is σ = 1078147065600. Its totient is φ = 72757149696.

The previous prime is 283128943073. The next prime is 283128943109. The reversal of 283128943104 is 401349821382.

283128943104 is a `hidden beast` number, since 28 + 31 + 289 + 4 + 310 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 283128943104.

It is not an unprimeable number, because it can be changed into a prime (283128943109) 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, 264853482 + ... + 264854550.

It is an arithmetic number, because the mean of its divisors is an integer number (1123069860).

Almost surely, 2^283128943104 is an apocalyptic number.

283128943104 is a gapful number since it is divisible by the number (24) 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 283128943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539073532800).

283128943104 is an abundant number, since it is smaller than the sum of its proper divisors (795018122496).

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

283128943104 is a wasteful number, since it uses less digits than its factorization.

283128943104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 283128943104 in words is "two hundred eighty-three billion, one hundred twenty-eight million, nine hundred forty-three thousand, one hundred four".