128461312 has 80 divisors (see below), whose sum is σ = 297963072. Its totient is φ = 54190080.

The previous prime is 128461301. The next prime is 128461313. The reversal of 128461312 is 213164821.

It is a super-2 number, since 2×128461312² = 33004617361522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (128461313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261387 + ... + 261877.

Almost surely, 2^128461312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148981536).

128461312 is an abundant number, since it is smaller than the sum of its proper divisors (169501760).

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

128461312 is an frugal number, since it uses more digits than its factorization.

128461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 573 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 128461312 is about 11334.0774657667. The cubic root of 128461312 is about 504.5731281445.

The spelling of 128461312 in words is "one hundred twenty-eight million, four hundred sixty-one thousand, three hundred twelve".