29280382880 has 384 divisors, whose sum is σ = 85121777664. Its totient is φ = 9306316800.

The previous prime is 29280382867. The next prime is 29280382903. The reversal of 29280382880 is 8828308292.

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, 95375687 + ... + 95375993.

It is an arithmetic number, because the mean of its divisors is an integer number (221671296).

Almost surely, 2^29280382880 is an apocalyptic number.

29280382880 is a gapful number since it is divisible by the number (20) 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 29280382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42560888832).

29280382880 is an abundant number, since it is smaller than the sum of its proper divisors (55841394784).

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

29280382880 is a wasteful number, since it uses less digits than its factorization.

29280382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 50.

The spelling of 29280382880 in words is "twenty-nine billion, two hundred eighty million, three hundred eighty-two thousand, eight hundred eighty".