10416528 has 30 divisors (see below), whose sum is σ = 29152214. Its totient is φ = 3472128.

The previous prime is 10416517. The next prime is 10416533. The reversal of 10416528 is 82561401.

10416528 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 652 + 8 = 666.

10416528 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8020224 + 2396304 = 2832^2 + 1548^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36025 + ... + 36312.

Almost surely, 2^10416528 is an apocalyptic number.

10416528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10416528 is an abundant number, since it is smaller than the sum of its proper divisors (18735686).

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

10416528 is a wasteful number, since it uses less digits than its factorization.

10416528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72351 (or 72342 counting only the distinct ones).

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

The square root of 10416528 is about 3227.4646396204. The cubic root of 10416528 is about 218.3941470878.

Adding to 10416528 its reverse (82561401), we get a palindrome (92977929).

It can be divided in two parts, 1041 and 6528, that added together give a square (7569 = 87²).

The spelling of 10416528 in words is "ten million, four hundred sixteen thousand, five hundred twenty-eight".