128459952 has 80 divisors (see below), whose sum is σ = 372436480. Its totient is φ = 42389568.

The previous prime is 128459951. The next prime is 128459987. The reversal of 128459952 is 259954821.

It is a happy number.

128459952 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 599 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128459898 and 128459907.

It is not an unprimeable number, because it can be changed into a prime (128459951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43053 + ... + 45939.

It is an arithmetic number, because the mean of its divisors is an integer number (4655456).

Almost surely, 2^128459952 is an apocalyptic number.

128459952 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 128459952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186218240).

128459952 is an abundant number, since it is smaller than the sum of its proper divisors (243976528).

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

128459952 is a wasteful number, since it uses less digits than its factorization.

128459952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2995 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 128459952 is about 11334.0174695472. The cubic root of 128459952 is about 504.5713475257.

The spelling of 128459952 in words is "one hundred twenty-eight million, four hundred fifty-nine thousand, nine hundred fifty-two".