4128912 has 60 divisors (see below), whose sum is σ = 11795004. Its totient is φ = 1347840.

The previous prime is 4128911. The next prime is 4128913. The reversal of 4128912 is 2198214.

It is an interprime number because it is at equal distance from previous prime (4128911) and next prime (4128913).

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 1806336 = 1524^2 + 1344^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4128911) 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, 7362 + ... + 7902.

Almost surely, 2^4128912 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 4128912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897502).

4128912 is an abundant number, since it is smaller than the sum of its proper divisors (7666092).

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

4128912 is a wasteful number, since it uses less digits than its factorization.

4128912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4128912 is about 2031.9724407580. The cubic root of 4128912 is about 160.4273989634.

The spelling of 4128912 in words is "four million, one hundred twenty-eight thousand, nine hundred twelve".