29425968 has 120 divisors (see below), whose sum is σ = 96816720. Its totient is φ = 8225280.

The previous prime is 29425943. The next prime is 29426009. The reversal of 29425968 is 86952492.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19878 + ... + 21306.

It is an arithmetic number, because the mean of its divisors is an integer number (806806).

Almost surely, 2^29425968 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 29425968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48408360).

29425968 is an abundant number, since it is smaller than the sum of its proper divisors (67390752).

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

29425968 is a wasteful number, since it uses less digits than its factorization.

29425968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1458 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 29425968 is about 5424.5707664294. The cubic root of 29425968 is about 308.7286397610.

It can be divided in two parts, 294 and 25968, that added together give a palindrome (26262).

The spelling of 29425968 in words is "twenty-nine million, four hundred twenty-five thousand, nine hundred sixty-eight".