8652728448 has 448 divisors, whose sum is σ = 31840401600. Its totient is φ = 2279798784.

The previous prime is 8652728423. The next prime is 8652728477. The reversal of 8652728448 is 8448272568.

8652728448 is a `hidden beast` number, since 86 + 52 + 72 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8652728394 and 8652728403.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8490883 + ... + 8491901.

It is an arithmetic number, because the mean of its divisors is an integer number (71072325).

Almost surely, 2^8652728448 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 8652728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920200800).

8652728448 is an abundant number, since it is smaller than the sum of its proper divisors (23187673152).

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

8652728448 is a wasteful number, since it uses less digits than its factorization.

8652728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1044 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 8652728448 is about 93020.0432595040. The cubic root of 8652728448 is about 2052.9782962169.

The spelling of 8652728448 in words is "eight billion, six hundred fifty-two million, seven hundred twenty-eight thousand, four hundred forty-eight".