283422241572288 has 448 divisors, whose sum is σ = 1005015381888000. Its totient is φ = 68372695351296.

The previous prime is 283422241572133. The next prime is 283422241572359. The reversal of 283422241572288 is 882275142224382.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×283422241572288⁴ (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5092993 + ... + 24347136.

It is an arithmetic number, because the mean of its divisors is an integer number (2243337906000).

Almost surely, 2^{283422241572288} is an apocalyptic number.

283422241572288 is a gapful number since it is divisible by the number (28) 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 283422241572288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502507690944000).

283422241572288 is an abundant number, since it is smaller than the sum of its proper divisors (721593140315712).

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

283422241572288 is a wasteful number, since it uses less digits than its factorization.

283422241572288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29440212 (or 29440202 counting only the distinct ones).

The product of its digits is 55050240, while the sum is 60.

The spelling of 283422241572288 in words is "two hundred eighty-three trillion, four hundred twenty-two billion, two hundred forty-one million, five hundred seventy-two thousand, two hundred eighty-eight".