128268700 has 144 divisors (see below), whose sum is σ = 343977984. Its totient is φ = 40550400.

The previous prime is 128268697. The next prime is 128268703. The reversal of 128268700 is 7862821.

It is an interprime number because it is at equal distance from previous prime (128268697) and next prime (128268703).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128268703) 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, 498972 + ... + 499228.

It is an arithmetic number, because the mean of its divisors is an integer number (2388736).

Almost surely, 2^128268700 is an apocalyptic number.

128268700 is a gapful number since it is divisible by the number (10) 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 128268700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171988992).

128268700 is an abundant number, since it is smaller than the sum of its proper divisors (215709284).

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

128268700 is a wasteful number, since it uses less digits than its factorization.

128268700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 128268700 is about 11325.5772479817. The cubic root of 128268700 is about 504.3208201367.

The spelling of 128268700 in words is "one hundred twenty-eight million, two hundred sixty-eight thousand, seven hundred".