8250000528 has 160 divisors (see below), whose sum is σ = 26680292352. Its totient is φ = 2134080000.

The previous prime is 8250000523. The next prime is 8250000541.

8250000528 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8250000495 and 8250000504.

It is not an unprimeable number, because it can be changed into a prime (8250000523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923250 + ... + 932142.

Almost surely, 2^8250000528 is an apocalyptic number.

8250000528 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 8250000528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340146176).

8250000528 is an abundant number, since it is smaller than the sum of its proper divisors (18430291824).

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

8250000528 is a wasteful number, since it uses less digits than its factorization.

8250000528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9173 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 8250000528 is about 90829.5135294690. The cubic root of 8250000528 is about 2020.6200534177.

It can be divided in two parts, 8250000 and 528, that multiplied together give a square (4356000000 = 66000²).

The spelling of 8250000528 in words is "eight billion, two hundred fifty million, five hundred twenty-eight", and thus it is an aban number.