128928707406720 has 1280 divisors, whose sum is σ = 525349639140480. Its totient is φ = 29850284851200.

The previous prime is 128928707406661. The next prime is 128928707406781. The reversal of 128928707406720 is 27604707829821.

128928707406720 is a `hidden beast` number, since 1 + 2 + 8 + 92 + 8 + 70 + 7 + 406 + 72 + 0 = 666.

It is a super-3 number, since 3×128928707406720³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26040940245 + ... + 26040945195.

Almost surely, 2^{128928707406720} is an apocalyptic number.

128928707406720 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 128928707406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262674819570240).

128928707406720 is an abundant number, since it is smaller than the sum of its proper divisors (396420931733760).

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

128928707406720 is a wasteful number, since it uses less digits than its factorization.

128928707406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7285 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 128928707406720 in words is "one hundred twenty-eight trillion, nine hundred twenty-eight billion, seven hundred seven million, four hundred six thousand, seven hundred twenty".