268128900 has 144 divisors (see below), whose sum is σ = 928412800. Its totient is φ = 65992320.

The previous prime is 268128859. The next prime is 268128901. The reversal of 268128900 is 9821862.

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 (268128901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31281 + ... + 38919.

Almost surely, 2^268128900 is an apocalyptic number.

268128900 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 268128900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464206400).

268128900 is an abundant number, since it is smaller than the sum of its proper divisors (660283900).

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

268128900 is a wasteful number, since it uses less digits than its factorization.

268128900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 268128900 is about 16374.6419808190. The cubic root of 268128900 is about 644.8339215458.

The spelling of 268128900 in words is "two hundred sixty-eight million, one hundred twenty-eight thousand, nine hundred".