4128000 has 144 divisors (see below), whose sum is σ = 14030016. Its totient is φ = 1075200.

The previous prime is 4127999. The next prime is 4128013. The reversal of 4128000 is 8214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95979 + ... + 96021.

Almost surely, 2^4128000 is an apocalyptic number.

4128000 is a gapful number since it is divisible by the number (40) 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 4128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015008).

4128000 is an abundant number, since it is smaller than the sum of its proper divisors (9902016).

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

4128000 is an equidigital number, since it uses as much as digits as its factorization.

4128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4128000 is about 2031.7480158720. The cubic root of 4128000 is about 160.4155862823.

It can be divided in two parts, 4 and 128000, that multiplied together give a cube (512000 = 80³).

The spelling of 4128000 in words is "four million, one hundred twenty-eight thousand".