8457006528 has 448 divisors, whose sum is σ = 27352995840. Its totient is φ = 2586608640.

The previous prime is 8457006527. The next prime is 8457006529. The reversal of 8457006528 is 8256007548.

It is an interprime number because it is at equal distance from previous prime (8457006527) and next prime (8457006529).

It is a super-2 number, since 2×8457006528² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8457006527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119112733 + ... + 119112803.

Almost surely, 2^8457006528 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 8457006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676497920).

8457006528 is an abundant number, since it is smaller than the sum of its proper divisors (18895989312).

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

8457006528 is an equidigital number, since it uses as much as digits as its factorization.

8457006528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 8457006528 is about 91961.9841456240. The cubic root of 8457006528 is about 2037.3808601996.

The spelling of 8457006528 in words is "eight billion, four hundred fifty-seven million, six thousand, five hundred twenty-eight".