10528160 has 48 divisors (see below), whose sum is σ = 25741800. Its totient is φ = 4064256.

The previous prime is 10528159. The next prime is 10528169. The reversal of 10528160 is 6182501.

It can be written as a sum of positive squares in 4 ways, for example, as 5740816 + 4787344 = 2396^2 + 2188^2 .

It is a super-2 number, since 2×10528160² = 221684305971200, which contains 22 as substring.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (10528169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3506 + ... + 5774.

Almost surely, 2^10528160 is an apocalyptic number.

10528160 is a gapful number since it is divisible by the number (10) 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 10528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870900).

10528160 is an abundant number, since it is smaller than the sum of its proper divisors (15213640).

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

10528160 is a wasteful number, since it uses less digits than its factorization.

10528160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 10528160 is about 3244.7126220977. The cubic root of 10528160 is about 219.1715398076.

The spelling of 10528160 in words is "ten million, five hundred twenty-eight thousand, one hundred sixty".