29148630 has 96 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 6552000.

The previous prime is 29148629. The next prime is 29148661. The reversal of 29148630 is 3684192.

It is a junction number, because it is equal to n+sod(n) for n = 29148591 and 29148600.

It is a congruent number.

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, 116005 + ... + 116255.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^29148630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29148630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

29148630 is an abundant number, since it is smaller than the sum of its proper divisors (53588010).

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

29148630 is a wasteful number, since it uses less digits than its factorization.

29148630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 29148630 is about 5398.9471195780. The cubic root of 29148630 is about 307.7556602083.

The spelling of 29148630 in words is "twenty-nine million, one hundred forty-eight thousand, six hundred thirty".