16528000 has 64 divisors (see below), whose sum is σ = 41132520. Its totient is φ = 6604800.

The previous prime is 16527983. The next prime is 16528009. The reversal of 16528000 is 82561.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9684544 + 6843456 = 3112^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (16528009) 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, 15484 + ... + 16516.

Almost surely, 2^16528000 is an apocalyptic number.

16528000 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 16528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20566260).

16528000 is an abundant number, since it is smaller than the sum of its proper divisors (24604520).

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

16528000 is an equidigital number, since it uses as much as digits as its factorization.

16528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 16528000 is about 4065.4643031270. The cubic root of 16528000 is about 254.7260931768.

The spelling of 16528000 in words is "sixteen million, five hundred twenty-eight thousand".