10587328 has 56 divisors (see below), whose sum is σ = 22933152. Its totient is φ = 4829184.

The previous prime is 10587323. The next prime is 10587359. The reversal of 10587328 is 82378501.

It is a super-2 number, since 2×10587328² = 224183028359168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 10587293 and 10587302.

It is not an unprimeable number, because it can be changed into a prime (10587323) 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, 40125 + ... + 40387.

Almost surely, 2^10587328 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 10587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466576).

10587328 is an abundant number, since it is smaller than the sum of its proper divisors (12345824).

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

10587328 is a wasteful number, since it uses less digits than its factorization.

10587328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 10587328 is about 3253.8174503189. The cubic root of 10587328 is about 219.5813526037.

The spelling of 10587328 in words is "ten million, five hundred eighty-seven thousand, three hundred twenty-eight".