29480610528 has 96 divisors (see below), whose sum is σ = 86026187520. Its totient is φ = 9822176640.

The previous prime is 29480610487. The next prime is 29480610541. The reversal of 29480610528 is 82501608492.

29480610528 is a `hidden beast` number, since 2 + 9 + 4 + 8 + 0 + 610 + 5 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2124573 + ... + 2138403.

It is an arithmetic number, because the mean of its divisors is an integer number (896106120).

Almost surely, 2^29480610528 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 29480610528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43013093760).

29480610528 is an abundant number, since it is smaller than the sum of its proper divisors (56545576992).

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

29480610528 is a wasteful number, since it uses less digits than its factorization.

29480610528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16317 (or 16303 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 29480610528 in words is "twenty-nine billion, four hundred eighty million, six hundred ten thousand, five hundred twenty-eight".