128945952 has 96 divisors (see below), whose sum is σ = 398260800. Its totient is φ = 40449024.

The previous prime is 128945923. The next prime is 128946001. The reversal of 128945952 is 259549821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 128945898 and 128945907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10299 + ... + 19077.

It is an arithmetic number, because the mean of its divisors is an integer number (4148550).

Almost surely, 2^128945952 is an apocalyptic number.

128945952 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 128945952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199130400).

128945952 is an abundant number, since it is smaller than the sum of its proper divisors (269314848).

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

128945952 is a wasteful number, since it uses less digits than its factorization.

128945952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815 (or 8801 counting only the distinct ones).

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

The square root of 128945952 is about 11355.4371117980. The cubic root of 128945952 is about 505.2068583652.

The spelling of 128945952 in words is "one hundred twenty-eight million, nine hundred forty-five thousand, nine hundred fifty-two".