128048760 has 384 divisors, whose sum is σ = 522288000. Its totient is φ = 27095040.

The previous prime is 128048759. The next prime is 128048761. The reversal of 128048760 is 67840821.

It is an interprime number because it is at equal distance from previous prime (128048759) and next prime (128048761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128048761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2099130 + ... + 2099190.

It is an arithmetic number, because the mean of its divisors is an integer number (1360125).

Almost surely, 2^128048760 is an apocalyptic number.

128048760 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 128048760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261144000).

128048760 is an abundant number, since it is smaller than the sum of its proper divisors (394239240).

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

128048760 is a wasteful number, since it uses less digits than its factorization.

128048760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 128048760 is about 11315.8632017182. The cubic root of 128048760 is about 504.0324053238.

The spelling of 128048760 in words is "one hundred twenty-eight million, forty-eight thousand, seven hundred sixty".