128756952 has 96 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 42449184.

The previous prime is 128756941. The next prime is 128756983. The reversal of 128756952 is 259657821.

128756952 is a `hidden beast` number, since 1 + 2 + 87 + 569 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 128756898 and 128756907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207699 + ... + 208317.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2^128756952 is an apocalyptic number.

128756952 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 128756952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

128756952 is an abundant number, since it is smaller than the sum of its proper divisors (236844648).

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

128756952 is a wasteful number, since it uses less digits than its factorization.

128756952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 128756952 is about 11347.1120554968. The cubic root of 128756952 is about 504.9599053225.

The spelling of 128756952 in words is "one hundred twenty-eight million, seven hundred fifty-six thousand, nine hundred fifty-two".