29016232128 has 1120 divisors, whose sum is σ = 109049149440. Its totient is φ = 7524679680.

The previous prime is 29016232117. The next prime is 29016232151. The reversal of 29016232128 is 82123261092.

It is a happy number.

29016232128 is a `hidden beast` number, since 2 + 9 + 0 + 1 + 623 + 2 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29016232092 and 29016232101.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 674796075 + ... + 674796117.

It is an arithmetic number, because the mean of its divisors is an integer number (97365312).

Almost surely, 2^29016232128 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 29016232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54524574720).

29016232128 is an abundant number, since it is smaller than the sum of its proper divisors (80032917312).

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

29016232128 is a wasteful number, since it uses less digits than its factorization.

29016232128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 29016232128 in words is "twenty-nine billion, sixteen million, two hundred thirty-two thousand, one hundred twenty-eight".