128652768 has 72 divisors (see below), whose sum is σ = 369493488. Its totient is φ = 42458112.

The previous prime is 128652761. The next prime is 128652773. The reversal of 128652768 is 867256821.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128652761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27496 + ... + 31832.

It is an arithmetic number, because the mean of its divisors is an integer number (5131854).

Almost surely, 2^128652768 is an apocalyptic number.

128652768 is a gapful number since it is divisible by the number (18) 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 128652768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184746744).

128652768 is an abundant number, since it is smaller than the sum of its proper divisors (240840720).

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

128652768 is a wasteful number, since it uses less digits than its factorization.

128652768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4445 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 128652768 is about 11342.5203548418. The cubic root of 128652768 is about 504.8236720606.

The spelling of 128652768 in words is "one hundred twenty-eight million, six hundred fifty-two thousand, seven hundred sixty-eight".