29000928 has 96 divisors (see below), whose sum is σ = 86002560. Its totient is φ = 8476160.

The previous prime is 29000893. The next prime is 29000941. The reversal of 29000928 is 82900092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×29000928² = 1682107649722368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29000895 and 29000904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30151 + ... + 31097.

It is an arithmetic number, because the mean of its divisors is an integer number (895860).

Almost surely, 2^29000928 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 29000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43001280).

29000928 is an abundant number, since it is smaller than the sum of its proper divisors (57001632).

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

29000928 is a wasteful number, since it uses less digits than its factorization.

29000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 29000928 is about 5385.2509690821. The cubic root of 29000928 is about 307.2349596716.

The spelling of 29000928 in words is "twenty-nine million, nine hundred twenty-eight", and thus it is an aban number.