4515352128 has 672 divisors, whose sum is σ = 16863974400. Its totient is φ = 1169012736.

The previous prime is 4515352123. The next prime is 4515352169. The reversal of 4515352128 is 8212535154.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4515352092 and 4515352101.

It is not an unprimeable number, because it can be changed into a prime (4515352123) 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, 76531363 + ... + 76531421.

It is an arithmetic number, because the mean of its divisors is an integer number (25095200).

Almost surely, 2^4515352128 is an apocalyptic number.

4515352128 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 4515352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8431987200).

4515352128 is an abundant number, since it is smaller than the sum of its proper divisors (12348622272).

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

4515352128 is a wasteful number, since it uses less digits than its factorization.

4515352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 4515352128 is about 67196.3699019523. The cubic root of 4515352128 is about 1652.8389604678.

The spelling of 4515352128 in words is "four billion, five hundred fifteen million, three hundred fifty-two thousand, one hundred twenty-eight".