4128768 has 102 divisors (see below), whose sum is σ = 13631384. Its totient is φ = 1179648.

The previous prime is 4128767. The next prime is 4128781. The reversal of 4128768 is 8678214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (21504) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589821 + ... + 589827.

Almost surely, 2^4128768 is an apocalyptic number.

4128768 is a gapful number since it is divisible by the number (48) 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 4128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815692).

4128768 is an abundant number, since it is smaller than the sum of its proper divisors (9502616).

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

4128768 is an frugal number, since it uses more digits than its factorization.

4128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 12 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4128768 is about 2031.9370068976. The cubic root of 4128768 is about 160.4255339189.

It can be divided in two parts, 412 and 8768, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 4128768 in words is "four million, one hundred twenty-eight thousand, seven hundred sixty-eight".