10528416 has 72 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3470976.

The previous prime is 10528403. The next prime is 10528439. The reversal of 10528416 is 61482501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10528416² = 221695086938112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10528416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39901 + ... + 40163.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 2^10528416 is an apocalyptic number.

10528416 is a gapful number since it is divisible by the number (16) 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 10528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

10528416 is an abundant number, since it is smaller than the sum of its proper divisors (19741824).

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

10528416 is a wasteful number, since it uses less digits than its factorization.

10528416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10528416 is about 3244.7520706519. The cubic root of 10528416 is about 219.1733162326.

The spelling of 10528416 in words is "ten million, five hundred twenty-eight thousand, four hundred sixteen".