29328020 has 48 divisors (see below), whose sum is σ = 65499840. Its totient is φ = 10999296.

The previous prime is 29328011. The next prime is 29328029. The reversal of 29328020 is 2082392.

It is an interprime number because it is at equal distance from previous prime (29328011) and next prime (29328029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29328029) by changing a digit.

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, 42599 + ... + 43281.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 2^29328020 is an apocalyptic number.

29328020 is a gapful number since it is divisible by the number (20) 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 29328020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32749920).

29328020 is an abundant number, since it is smaller than the sum of its proper divisors (36171820).

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

29328020 is a wasteful number, since it uses less digits than its factorization.

29328020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 29328020 is about 5415.5350612843. The cubic root of 29328020 is about 308.3857117412.

The spelling of 29328020 in words is "twenty-nine million, three hundred twenty-eight thousand, twenty".