283228303104 has 288 divisors, whose sum is σ = 875837975040. Its totient is φ = 90111909888.

The previous prime is 283228303097. The next prime is 283228303129. The reversal of 283228303104 is 401303822382.

283228303104 is a `hidden beast` number, since 28 + 3 + 228 + 303 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×283228303104⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86958244 + ... + 86961500.

It is an arithmetic number, because the mean of its divisors is an integer number (3041104080).

Almost surely, 2^283228303104 is an apocalyptic number.

283228303104 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 283228303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437918987520).

283228303104 is an abundant number, since it is smaller than the sum of its proper divisors (592609671936).

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

283228303104 is a wasteful number, since it uses less digits than its factorization.

283228303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 283228303104 in words is "two hundred eighty-three billion, two hundred twenty-eight million, three hundred three thousand, one hundred four".