128100480 has 128 divisors (see below), whose sum is σ = 412145280. Its totient is φ = 33841152.

The previous prime is 128100461. The next prime is 128100481. The reversal of 128100480 is 84001821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 128100480.

It is not an unprimeable number, because it can be changed into a prime (128100481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262797 + ... + 263283.

It is an arithmetic number, because the mean of its divisors is an integer number (3219885).

Almost surely, 2^128100480 is an apocalyptic number.

128100480 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 128100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206072640).

128100480 is an abundant number, since it is smaller than the sum of its proper divisors (284044800).

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

128100480 is a wasteful number, since it uses less digits than its factorization.

128100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 128100480 is about 11318.1482584387. The cubic root of 128100480 is about 504.1002572031.

The spelling of 128100480 in words is "one hundred twenty-eight million, one hundred thousand, four hundred eighty".