29328456960 has 216 divisors, whose sum is σ = 110698739424. Its totient is φ = 7109898240.

The previous prime is 29328456947. The next prime is 29328456961. The reversal of 29328456960 is 6965482392.

It is a happy number.

It is a super-3 number, since 3×29328456960³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29328456897 and 29328456906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29328456961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10999 + ... + 242441.

It is an arithmetic number, because the mean of its divisors is an integer number (512494164).

Almost surely, 2^29328456960 is an apocalyptic number.

29328456960 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 29328456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55349369712).

29328456960 is an abundant number, since it is smaller than the sum of its proper divisors (81370282464).

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

29328456960 is a wasteful number, since it uses less digits than its factorization.

29328456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231481 (or 231464 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 29328456960 in words is "twenty-nine billion, three hundred twenty-eight million, four hundred fifty-six thousand, nine hundred sixty".