10682528 has 48 divisors (see below), whose sum is σ = 22657320. Its totient is φ = 4939776.

The previous prime is 10682501. The next prime is 10682537. The reversal of 10682528 is 82528601.

It can be written as a sum of positive squares in 4 ways, for example, as 8456464 + 2226064 = 2908^2 + 1492^2 .

It is a super-2 number, since 2×10682528² = 228232808941568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10682494 and 10682503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39578 + ... + 39846.

Almost surely, 2^10682528 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 10682528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328660).

10682528 is an abundant number, since it is smaller than the sum of its proper divisors (11974792).

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

10682528 is a wasteful number, since it uses less digits than its factorization.

10682528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 10682528 is about 3268.4136825072. The cubic root of 10682528 is about 220.2375395734.

The spelling of 10682528 in words is "ten million, six hundred eighty-two thousand, five hundred twenty-eight".