29164130028 has 432 divisors, whose sum is σ = 91525790720. Its totient is φ = 8083152000.

The previous prime is 29164129999. The next prime is 29164130033. The reversal of 29164130028 is 82003146192.

29164130028 is a `hidden beast` number, since 2 + 9 + 1 + 641 + 3 + 0 + 0 + 2 + 8 = 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 = 29164129974 and 29164130001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69273258 + ... + 69273678.

Almost surely, 2^29164130028 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 29164130028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45762895360).

29164130028 is an abundant number, since it is smaller than the sum of its proper divisors (62361660692).

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

29164130028 is a wasteful number, since it uses less digits than its factorization.

29164130028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 487 counting only the distinct ones).

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

The spelling of 29164130028 in words is "twenty-nine billion, one hundred sixty-four million, one hundred thirty thousand, twenty-eight".