128346128280 has 192 divisors, whose sum is σ = 420447456000. Its totient is φ = 33953810688.

The previous prime is 128346128243. The next prime is 128346128321. The reversal of 128346128280 is 82821643821.

128346128280 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 4 + 612 + 8 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38668461 + ... + 38671779.

It is an arithmetic number, because the mean of its divisors is an integer number (2189830500).

Almost surely, 2^128346128280 is an apocalyptic number.

128346128280 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 128346128280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210223728000).

128346128280 is an abundant number, since it is smaller than the sum of its proper divisors (292101327720).

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

128346128280 is a wasteful number, since it uses less digits than its factorization.

128346128280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 128346128280 in words is "one hundred twenty-eight billion, three hundred forty-six million, one hundred twenty-eight thousand, two hundred eighty".