29278920 has 128 divisors (see below), whose sum is σ = 98340480. Its totient is φ = 6912000.

The previous prime is 29278919. The next prime is 29278937. The reversal of 29278920 is 2987292.

It is a Cunningham number, because it is equal to 5411²-1.

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 31 ways as a sum of consecutive naturals, for example, 53850 + ... + 54390.

It is an arithmetic number, because the mean of its divisors is an integer number (768285).

Almost surely, 2^29278920 is an apocalyptic number.

29278920 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 29278920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49170240).

29278920 is an abundant number, since it is smaller than the sum of its proper divisors (69061560).

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

29278920 is a wasteful number, since it uses less digits than its factorization.

29278920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 29278920 is about 5410.9999075956. Note that the first 4 decimals coincide. The cubic root of 29278920 is about 308.2135192299.

The spelling of 29278920 in words is "twenty-nine million, two hundred seventy-eight thousand, nine hundred twenty".