128280672 has 216 divisors, whose sum is σ = 416628576. Its totient is φ = 38631168.

The previous prime is 128280641. The next prime is 128280689. The reversal of 128280672 is 276082821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2729353 + ... + 2729399.

It is an arithmetic number, because the mean of its divisors is an integer number (1928836).

Almost surely, 2^128280672 is an apocalyptic number.

128280672 is a gapful number since it is divisible by the number (12) 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 128280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208314288).

128280672 is an abundant number, since it is smaller than the sum of its proper divisors (288347904).

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

128280672 is an frugal number, since it uses more digits than its factorization.

128280672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

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

The square root of 128280672 is about 11326.1057738307. The cubic root of 128280672 is about 504.3365099634.

The spelling of 128280672 in words is "one hundred twenty-eight million, two hundred eighty thousand, six hundred seventy-two".