281829028668 has 192 divisors, whose sum is σ = 774918144000. Its totient is φ = 78795763200.

The previous prime is 281829028639. The next prime is 281829028697. The reversal of 281829028668 is 866820928182.

It is an interprime number because it is at equal distance from previous prime (281829028639) and next prime (281829028697).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67761573 + ... + 67765731.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032000).

Almost surely, 2^281829028668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281829028668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387459072000).

281829028668 is an abundant number, since it is smaller than the sum of its proper divisors (493089115332).

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

281829028668 is a wasteful number, since it uses less digits than its factorization.

281829028668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 60.

The spelling of 281829028668 in words is "two hundred eighty-one billion, eight hundred twenty-nine million, twenty-eight thousand, six hundred sixty-eight".