4128673248 has 576 divisors, whose sum is σ = 15239024640. Its totient is φ = 1063756800.

The previous prime is 4128673207. The next prime is 4128673249. The reversal of 4128673248 is 8423768214.

It is a happy number.

4128673248 is a `hidden beast` number, since 41 + 286 + 7 + 324 + 8 = 666.

4128673248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128673249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67683138 + ... + 67683198.

It is an arithmetic number, because the mean of its divisors is an integer number (26456640).

Almost surely, 2^4128673248 is an apocalyptic number.

4128673248 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 4128673248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619512320).

4128673248 is an abundant number, since it is smaller than the sum of its proper divisors (11110351392).

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

4128673248 is a wasteful number, since it uses less digits than its factorization.

4128673248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 123 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4128673248 is about 64254.7527269384. The cubic root of 4128673248 is about 1604.2430669592.

The spelling of 4128673248 in words is "four billion, one hundred twenty-eight million, six hundred seventy-three thousand, two hundred forty-eight".