29345428356 has 144 divisors (see below), whose sum is σ = 74938264128. Its totient is φ = 8904867840.

The previous prime is 29345428349. The next prime is 29345428361. The reversal of 29345428356 is 65382454392.

It is a super-2 number, since 2×29345428356² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 29345428299 and 29345428308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50858340 + ... + 50858916.

It is an arithmetic number, because the mean of its divisors is an integer number (520404612).

Almost surely, 2^29345428356 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 29345428356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37469132064).

29345428356 is an abundant number, since it is smaller than the sum of its proper divisors (45592835772).

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

29345428356 is a wasteful number, since it uses less digits than its factorization.

29345428356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 727 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 51.

The spelling of 29345428356 in words is "twenty-nine billion, three hundred forty-five million, four hundred twenty-eight thousand, three hundred fifty-six".