29332028880 has 640 divisors, whose sum is σ = 130048819200. Its totient is φ = 5897318400.

The previous prime is 29332028851. The next prime is 29332028881. The reversal of 29332028880 is 8882023392.

29332028880 is a `hidden beast` number, since 293 + 3 + 2 + 0 + 288 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29332028881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5153076 + ... + 5158764.

It is an arithmetic number, because the mean of its divisors is an integer number (203201280).

Almost surely, 2^29332028880 is an apocalyptic number.

29332028880 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 29332028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65024409600).

29332028880 is an abundant number, since it is smaller than the sum of its proper divisors (100716790320).

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

29332028880 is a wasteful number, since it uses less digits than its factorization.

29332028880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 29332028880 in words is "twenty-nine billion, three hundred thirty-two million, twenty-eight thousand, eight hundred eighty".