29828080 has 40 divisors (see below), whose sum is σ = 70834752. Its totient is φ = 11675904.

The previous prime is 29828059. The next prime is 29828089. The reversal of 29828080 is 8082892.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29828089) 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 7 ways as a sum of consecutive naturals, for example, 207 + ... + 7726.

Almost surely, 2^29828080 is an apocalyptic number.

29828080 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 29828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35417376).

29828080 is an abundant number, since it is smaller than the sum of its proper divisors (41006672).

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

29828080 is a wasteful number, since it uses less digits than its factorization.

29828080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 29828080 is about 5461.5089489994. The cubic root of 29828080 is about 310.1285627003.

The spelling of 29828080 in words is "twenty-nine million, eight hundred twenty-eight thousand, eighty".