128216880 has 120 divisors (see below), whose sum is σ = 469769040. Its totient is φ = 31080960.

The previous prime is 128216863. The next prime is 128216887. The reversal of 128216880 is 88612821.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (128216887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175 + ... + 16014.

It is an arithmetic number, because the mean of its divisors is an integer number (3914742).

Almost surely, 2^128216880 is an apocalyptic number.

128216880 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 128216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234884520).

128216880 is an abundant number, since it is smaller than the sum of its proper divisors (341552160).

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

128216880 is a wasteful number, since it uses less digits than its factorization.

128216880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16219 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 128216880 is about 11323.2892747646. The cubic root of 128216880 is about 504.2528965123.

It can be divided in two parts, 12821 and 6880, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 128216880 in words is "one hundred twenty-eight million, two hundred sixteen thousand, eight hundred eighty".