29328029136 has 240 divisors, whose sum is σ = 97037344768. Its totient is φ = 8091705600.

The previous prime is 29328029131. The next prime is 29328029191. The reversal of 29328029136 is 63192082392.

It is a happy number.

29328029136 is a `hidden beast` number, since 2 + 9 + 328 + 0 + 291 + 36 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29328029091 and 29328029100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29328029131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22716651 + ... + 22717941.

Almost surely, 2^29328029136 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 29328029136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48518672384).

29328029136 is an abundant number, since it is smaller than the sum of its proper divisors (67709315632).

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

29328029136 is a wasteful number, since it uses less digits than its factorization.

29328029136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 29328029136 in words is "twenty-nine billion, three hundred twenty-eight million, twenty-nine thousand, one hundred thirty-six".