29268100 has 27 divisors (see below), whose sum is σ = 63629391. Its totient is φ = 11685600.

The previous prime is 29268089. The next prime is 29268119. The reversal of 29268100 is 186292.

29268100 = T₁₉ + T₂₀ + ... + T₅₅₉.

It is a happy number.

The square root of 29268100 is 5410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1726596 + 27541504 = 1314^2 + 5248^2 .

It is a super-2 number, since 2×29268100² = 1713243355220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53830 + ... + 54370.

Almost surely, 2^29268100 is an apocalyptic number.

29268100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29268100 is the 5410-th square number.

It is an amenable number.

29268100 is an abundant number, since it is smaller than the sum of its proper divisors (34361291).

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

29268100 is an equidigital number, since it uses as much as digits as its factorization.

29268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The cubic root of 29268100 is about 308.1755478707.

It can be divided in two parts, 2926 and 8100, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 29268100 in words is "twenty-nine million, two hundred sixty-eight thousand, one hundred".