29005961328 has 120 divisors (see below), whose sum is σ = 85336965168. Its totient is φ = 9536113152.

The previous prime is 29005961291. The next prime is 29005961351. The reversal of 29005961328 is 82316950092.

29005961328 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 5 + 9 + 613 + 28 = 666.

It is a super-2 number, since 2×29005961328² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232726 + ... + 334922.

Almost surely, 2^29005961328 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 29005961328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42668482584).

29005961328 is an abundant number, since it is smaller than the sum of its proper divisors (56331003840).

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

29005961328 is a wasteful number, since it uses less digits than its factorization.

29005961328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102293 (or 102275 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 29005961328 in words is "twenty-nine billion, five million, nine hundred sixty-one thousand, three hundred twenty-eight".