128600010 has 216 divisors, whose sum is σ = 429296868. Its totient is φ = 26611200.

The previous prime is 128599987. The next prime is 128600027. The reversal of 128600010 is 10006821.

It can be written as a sum of positive squares in 2 ways, for example, as 128119761 + 480249 = 11319^2 + 693^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 533490 + ... + 533730.

Almost surely, 2^128600010 is an apocalyptic number.

128600010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128600010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214648434).

128600010 is an abundant number, since it is smaller than the sum of its proper divisors (300696858).

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

128600010 is a wasteful number, since it uses less digits than its factorization.

128600010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 128600010 is about 11340.1944427774. The cubic root of 128600010 is about 504.7546565000.

Adding to 128600010 its reverse (10006821), we get a palindrome (138606831).

The spelling of 128600010 in words is "one hundred twenty-eight million, six hundred thousand, ten".