29714048 has 64 divisors (see below), whose sum is σ = 72885120. Its totient is φ = 11750400.

The previous prime is 29714023. The next prime is 29714057. The reversal of 29714048 is 84041792.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 29713999 and 29714017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10373 + ... + 12923.

It is an arithmetic number, because the mean of its divisors is an integer number (1138830).

Almost surely, 2^29714048 is an apocalyptic number.

29714048 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 29714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36442560).

29714048 is an abundant number, since it is smaller than the sum of its proper divisors (43171072).

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

29714048 is a wasteful number, since it uses less digits than its factorization.

29714048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 29714048 is about 5451.0593465858. The cubic root of 29714048 is about 309.7328534426.

The spelling of 29714048 in words is "twenty-nine million, seven hundred fourteen thousand, forty-eight".