29013768 has 128 divisors (see below), whose sum is σ = 95232000. Its totient is φ = 8009280.

The previous prime is 29013731. The next prime is 29013769. The reversal of 29013768 is 86731092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29013769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46563 + ... + 47181.

It is an arithmetic number, because the mean of its divisors is an integer number (744000).

Almost surely, 2^29013768 is an apocalyptic number.

29013768 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 29013768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616000).

29013768 is an abundant number, since it is smaller than the sum of its proper divisors (66218232).

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

29013768 is a wasteful number, since it uses less digits than its factorization.

29013768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 29013768 is about 5386.4429821544. The cubic root of 29013768 is about 307.2802951729.

The spelling of 29013768 in words is "twenty-nine million, thirteen thousand, seven hundred sixty-eight".