284080130208 has 768 divisors, whose sum is σ = 1010970132480. Its totient is φ = 75899980800.

The previous prime is 284080130203. The next prime is 284080130233. The reversal of 284080130208 is 802031080482.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (284080130203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1346351223 + ... + 1346351433.

It is an arithmetic number, because the mean of its divisors is an integer number (1316367360).

Almost surely, 2^284080130208 is an apocalyptic number.

284080130208 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 284080130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505485066240).

284080130208 is an abundant number, since it is smaller than the sum of its proper divisors (726890002272).

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

284080130208 is a wasteful number, since it uses less digits than its factorization.

284080130208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 284080130208 in words is "two hundred eighty-four billion, eighty million, one hundred thirty thousand, two hundred eight".