29406728960 has 144 divisors (see below), whose sum is σ = 83098509312. Its totient is φ = 9756979200.

The previous prime is 29406728891. The next prime is 29406728977. The reversal of 29406728960 is 6982760492.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224825 + ... + 330695.

Almost surely, 2^29406728960 is an apocalyptic number.

29406728960 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 29406728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41549254656).

29406728960 is an abundant number, since it is smaller than the sum of its proper divisors (53691780352).

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

29406728960 is a wasteful number, since it uses less digits than its factorization.

29406728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105930 (or 105916 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 29406728960 in words is "twenty-nine billion, four hundred six million, seven hundred twenty-eight thousand, nine hundred sixty".