29379168 has 288 divisors, whose sum is σ = 110073600. Its totient is φ = 7216128.

The previous prime is 29379157. The next prime is 29379193. The reversal of 29379168 is 86197392.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497923 + ... + 497981.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^29379168 is an apocalyptic number.

29379168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29379168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

29379168 is an abundant number, since it is smaller than the sum of its proper divisors (80694432).

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

29379168 is a wasteful number, since it uses less digits than its factorization.

29379168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 29379168 is about 5420.2553445387. The cubic root of 29379168 is about 308.5648822832.

The spelling of 29379168 in words is "twenty-nine million, three hundred seventy-nine thousand, one hundred sixty-eight".