29826368 has 56 divisors (see below), whose sum is σ = 69555360. Its totient is φ = 12510720.

The previous prime is 29826317. The next prime is 29826383. The reversal of 29826368 is 86362892.

It is a super-2 number, since 2×29826368² = 1779224456142848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7523 + ... + 10781.

It is an arithmetic number, because the mean of its divisors is an integer number (1242060).

Almost surely, 2^29826368 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 29826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34777680).

29826368 is an abundant number, since it is smaller than the sum of its proper divisors (39728992).

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

29826368 is a wasteful number, since it uses less digits than its factorization.

29826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3285 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 29826368 is about 5461.3522135090. The cubic root of 29826368 is about 310.1226292504.

The spelling of 29826368 in words is "twenty-nine million, eight hundred twenty-six thousand, three hundred sixty-eight".