4753648128 has 80 divisors (see below), whose sum is σ = 13072663296. Its totient is φ = 1533419520.

The previous prime is 4753648079. The next prime is 4753648183. The reversal of 4753648128 is 8218463574.

It is a super-3 number, since 3×4753648128³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2301 + ... + 97532.

Almost surely, 2^4753648128 is an apocalyptic number.

4753648128 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 4753648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536331648).

4753648128 is an abundant number, since it is smaller than the sum of its proper divisors (8319015168).

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

4753648128 is an equidigital number, since it uses as much as digits as its factorization.

4753648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99885 (or 99869 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 4753648128 is about 68946.7049829069. The cubic root of 4753648128 is about 1681.4179412250.

The spelling of 4753648128 in words is "four billion, seven hundred fifty-three million, six hundred forty-eight thousand, one hundred twenty-eight".