29878368 has 96 divisors (see below), whose sum is σ = 85730400. Its totient is φ = 9056256.

The previous prime is 29878319. The next prime is 29878391. The reversal of 29878368 is 86387892.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

Its product of digits (1161216) is a multiple of the sum of its prime factors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 29878368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110938 + ... + 111206.

It is an arithmetic number, because the mean of its divisors is an integer number (893025).

Almost surely, 2^29878368 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 29878368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42865200).

29878368 is an abundant number, since it is smaller than the sum of its proper divisors (55852032).

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

29878368 is a wasteful number, since it uses less digits than its factorization.

29878368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 29878368 is about 5466.1108660546. The cubic root of 29878368 is about 310.3027496736.

The spelling of 29878368 in words is "twenty-nine million, eight hundred seventy-eight thousand, three hundred sixty-eight".