8065728 has 168 divisors, whose sum is σ = 26944320. Its totient is φ = 2280960.

The previous prime is 8065727. The next prime is 8065751. The reversal of 8065728 is 8275608.

8065728 is a `hidden beast` number, since 80 + 6 + 572 + 8 = 666.

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 = 8065692 and 8065701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8065721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120351 + ... + 120417.

Almost surely, 2^8065728 is an apocalyptic number.

8065728 is a gapful number since it is divisible by the number (88) 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 8065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472160).

8065728 is an abundant number, since it is smaller than the sum of its proper divisors (18878592).

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

8065728 is a wasteful number, since it uses less digits than its factorization.

8065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8065728 is about 2840.0225351219. The cubic root of 8065728 is about 200.5462400840.

The spelling of 8065728 in words is "eight million, sixty-five thousand, seven hundred twenty-eight".