29338380 has 72 divisors (see below), whose sum is σ = 89434800. Its totient is φ = 7784832.

The previous prime is 29338357. The next prime is 29338381. The reversal of 29338380 is 8383392.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29338381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69811 + ... + 70229.

It is an arithmetic number, because the mean of its divisors is an integer number (1242150).

Almost surely, 2^29338380 is an apocalyptic number.

29338380 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 29338380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44717400).

29338380 is an abundant number, since it is smaller than the sum of its proper divisors (60096420).

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

29338380 is a wasteful number, since it uses less digits than its factorization.

29338380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 29338380 is about 5416.4914843467. The cubic root of 29338380 is about 308.4220194526.

The spelling of 29338380 in words is "twenty-nine million, three hundred thirty-eight thousand, three hundred eighty".