29281992480 has 480 divisors, whose sum is σ = 112124694528. Its totient is φ = 7153920000.

The previous prime is 29281992479. The next prime is 29281992517. The reversal of 29281992480 is 8429918292.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 25439905 + ... + 25441055.

Almost surely, 2^29281992480 is an apocalyptic number.

29281992480 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 29281992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56062347264).

29281992480 is an abundant number, since it is smaller than the sum of its proper divisors (82842702048).

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

29281992480 is a wasteful number, since it uses less digits than its factorization.

29281992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 29281992480 in words is "twenty-nine billion, two hundred eighty-one million, nine hundred ninety-two thousand, four hundred eighty".