29868048 has 240 divisors, whose sum is σ = 106868160. Its totient is φ = 7934976.

The previous prime is 29868029. The next prime is 29868061. The reversal of 29868048 is 84086892.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29867994 and 29868012.

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, 359815 + ... + 359897.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^29868048 is an apocalyptic number.

29868048 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 29868048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

29868048 is an abundant number, since it is smaller than the sum of its proper divisors (77000112).

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

29868048 is a wasteful number, since it uses less digits than its factorization.

29868048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 29868048 is about 5465.1667861100. The cubic root of 29868048 is about 310.2670193291.

The spelling of 29868048 in words is "twenty-nine million, eight hundred sixty-eight thousand, forty-eight".