128770128 has 80 divisors (see below), whose sum is σ = 371970240. Its totient is φ = 42650496.

The previous prime is 128770127. The next prime is 128770129. The reversal of 128770128 is 821077821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (128770127) and next prime (128770129).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128770092 and 128770101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128770127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73875 + ... + 75597.

It is an arithmetic number, because the mean of its divisors is an integer number (4649628).

Almost surely, 2^128770128 is an apocalyptic number.

128770128 is a gapful number since it is divisible by the number (18) 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 128770128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185985120).

128770128 is an abundant number, since it is smaller than the sum of its proper divisors (243200112).

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

128770128 is a wasteful number, since it uses less digits than its factorization.

128770128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 128770128 is about 11347.6926289004. The cubic root of 128770128 is about 504.9771293109.

The spelling of 128770128 in words is "one hundred twenty-eight million, seven hundred seventy thousand, one hundred twenty-eight".