29880928 has 96 divisors (see below), whose sum is σ = 74850048. Its totient is φ = 11404800.

The previous prime is 29880919. The next prime is 29880953. The reversal of 29880928 is 82908892.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164998 + ... + 165178.

It is an arithmetic number, because the mean of its divisors is an integer number (779688).

Almost surely, 2^29880928 is an apocalyptic number.

29880928 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 29880928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37425024).

29880928 is an abundant number, since it is smaller than the sum of its proper divisors (44969120).

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

29880928 is a wasteful number, since it uses less digits than its factorization.

29880928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 29880928 is about 5466.3450311886. The cubic root of 29880928 is about 310.3116117412.

The spelling of 29880928 in words is "twenty-nine million, eight hundred eighty thousand, nine hundred twenty-eight".