29426688 has 132 divisors (see below), whose sum is σ = 88561408. Its totient is φ = 9400320.

The previous prime is 29426681. The next prime is 29426689. The reversal of 29426688 is 88662492.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (29426681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285645 + ... + 285747.

Almost surely, 2^29426688 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 29426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44280704).

29426688 is an abundant number, since it is smaller than the sum of its proper divisors (59134720).

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

29426688 is a wasteful number, since it uses less digits than its factorization.

29426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 29426688 is about 5424.6371307213. The cubic root of 29426688 is about 308.7311577502.

The spelling of 29426688 in words is "twenty-nine million, four hundred twenty-six thousand, six hundred eighty-eight".