4247728128 has 520 divisors, whose sum is σ = 15223464960. Its totient is φ = 1154580480.

The previous prime is 4247728081. The next prime is 4247728129. The reversal of 4247728128 is 8218277424.

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 (4247728129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71995363 + ... + 71995421.

Almost surely, 2^4247728128 is an apocalyptic number.

4247728128 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 4247728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611732480).

4247728128 is an abundant number, since it is smaller than the sum of its proper divisors (10975736832).

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

4247728128 is an equidigital number, since it uses as much as digits as its factorization.

4247728128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 4247728128 is about 65174.5972599755. The cubic root of 4247728128 is about 1619.5172223965.

The spelling of 4247728128 in words is "four billion, two hundred forty-seven million, seven hundred twenty-eight thousand, one hundred twenty-eight".