128028245760 has 576 divisors, whose sum is σ = 483181977600. Its totient is φ = 31990284288.

The previous prime is 128028245749. The next prime is 128028245767. The reversal of 128028245760 is 67542820821.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128028245767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210919377 + ... + 210919983.

It is an arithmetic number, because the mean of its divisors is an integer number (838857600).

Almost surely, 2^128028245760 is an apocalyptic number.

128028245760 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 128028245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241590988800).

128028245760 is an abundant number, since it is smaller than the sum of its proper divisors (355153731840).

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

128028245760 is a wasteful number, since it uses less digits than its factorization.

128028245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 128028245760 in words is "one hundred twenty-eight billion, twenty-eight million, two hundred forty-five thousand, seven hundred sixty".