29768424 has 64 divisors (see below), whose sum is σ = 87369600. Its totient is φ = 8273664.

The previous prime is 29768423. The next prime is 29768429. The reversal of 29768424 is 42486792.

It is a super-3 number, since 3×29768424³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (29768423) 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 15 ways as a sum of consecutive naturals, for example, 3822 + ... + 8610.

It is an arithmetic number, because the mean of its divisors is an integer number (1365150).

Almost surely, 2^29768424 is an apocalyptic number.

29768424 is a gapful number since it is divisible by the number (24) 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 29768424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43684800).

29768424 is an abundant number, since it is smaller than the sum of its proper divisors (57601176).

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

29768424 is a wasteful number, since it uses less digits than its factorization.

29768424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4838 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 29768424 is about 5456.0447212243. The cubic root of 29768424 is about 309.9216728921.

The spelling of 29768424 in words is "twenty-nine million, seven hundred sixty-eight thousand, four hundred twenty-four".