29116928 has 80 divisors (see below), whose sum is σ = 62975880. Its totient is φ = 13418496.

The previous prime is 29116907. The next prime is 29116931. The reversal of 29116928 is 82961192.

It can be written as a sum of positive squares in 4 ways, for example, as 29073664 + 43264 = 5392^2 + 208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29116891 and 29116900.

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, 549350 + ... + 549402.

Almost surely, 2^29116928 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 29116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487940).

29116928 is an abundant number, since it is smaller than the sum of its proper divisors (33858952).

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

29116928 is an equidigital number, since it uses as much as digits as its factorization.

29116928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 29116928 is about 5396.0103780478. The cubic root of 29116928 is about 307.6440482261.

The spelling of 29116928 in words is "twenty-nine million, one hundred sixteen thousand, nine hundred twenty-eight".