29438820 has 72 divisors (see below), whose sum is σ = 91498680. Its totient is φ = 7656960.

The previous prime is 29438819. The next prime is 29438831. The reversal of 29438820 is 2883492.

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 29419776 = 138^2 + 5424^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 5386 + ... + 9374.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815).

Almost surely, 2^29438820 is an apocalyptic number.

29438820 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 29438820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45749340).

29438820 is an abundant number, since it is smaller than the sum of its proper divisors (62059860).

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

29438820 is a wasteful number, since it uses less digits than its factorization.

29438820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 29438820 is about 5425.7552469679. The cubic root of 29438820 is about 308.7735796926.

The spelling of 29438820 in words is "twenty-nine million, four hundred thirty-eight thousand, eight hundred twenty".