29268900 has 108 divisors (see below), whose sum is σ = 97189092. Its totient is φ = 7342080.

The previous prime is 29268893. The next prime is 29268901. The reversal of 29268900 is 986292.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 27941796 = 1152^2 + 5286^2 .

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 (29268901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14344 + ... + 16256.

It is an arithmetic number, because the mean of its divisors is an integer number (899899).

Almost surely, 2^29268900 is an apocalyptic number.

29268900 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 29268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48594546).

29268900 is an abundant number, since it is smaller than the sum of its proper divisors (67920192).

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

29268900 is a wasteful number, since it uses less digits than its factorization.

29268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29268900 is about 5410.0739366482. The cubic root of 29268900 is about 308.1783556853.

The spelling of 29268900 in words is "twenty-nine million, two hundred sixty-eight thousand, nine hundred".