128436876 has 72 divisors (see below), whose sum is σ = 341044704. Its totient is φ = 40677120.

The previous prime is 128436871. The next prime is 128436877. The reversal of 128436876 is 678634821.

128436876 is a `hidden beast` number, since 1 + 284 + 368 + 7 + 6 = 666.

It is a super-2 number, since 2×128436876² = 32992062233278752, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (128436871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149440 + ... + 150296.

It is an arithmetic number, because the mean of its divisors is an integer number (4736732).

Almost surely, 2^128436876 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 128436876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170522352).

128436876 is an abundant number, since it is smaller than the sum of its proper divisors (212607828).

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

128436876 is a wasteful number, since it uses less digits than its factorization.

128436876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1066 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 128436876 is about 11332.9994264537. Note that the first 3 decimals coincide. The cubic root of 128436876 is about 504.5411326987.

The spelling of 128436876 in words is "one hundred twenty-eight million, four hundred thirty-six thousand, eight hundred seventy-six".