128562768 has 80 divisors (see below), whose sum is σ = 371851200. Its totient is φ = 42526080.

The previous prime is 128562761. The next prime is 128562769. The reversal of 128562768 is 867265821.

128562768 is a `hidden beast` number, since 1 + 28 + 562 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128562761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58978 + ... + 61118.

It is an arithmetic number, because the mean of its divisors is an integer number (4648140).

Almost surely, 2^128562768 is an apocalyptic number.

128562768 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 128562768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185925600).

128562768 is an abundant number, since it is smaller than the sum of its proper divisors (243288432).

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

128562768 is a wasteful number, since it uses less digits than its factorization.

128562768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2285 counting only the distinct ones).

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

The square root of 128562768 is about 11338.5522885420. The cubic root of 128562768 is about 504.7059268827.

The spelling of 128562768 in words is "one hundred twenty-eight million, five hundred sixty-two thousand, seven hundred sixty-eight".