9264528 has 180 divisors, whose sum is σ = 32802588. Its totient is φ = 2419200.

The previous prime is 9264527. The next prime is 9264529. The reversal of 9264528 is 8254629.

It is a happy number.

9264528 is a `hidden beast` number, since 9 + 2 + 645 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9264527) and next prime (9264529).

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 3732624 = 2352^2 + 1932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9264492 and 9264501.

It is not an unprimeable number, because it can be changed into a prime (9264527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91678 + ... + 91778.

Almost surely, 2^9264528 is an apocalyptic number.

9264528 is a gapful number since it is divisible by the number (98) 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 9264528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401294).

9264528 is an abundant number, since it is smaller than the sum of its proper divisors (23538060).

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

9264528 is a wasteful number, since it uses less digits than its factorization.

9264528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 9264528 is about 3043.7687165749. The cubic root of 9264528 is about 210.0266632811.

It can be divided in two parts, 92 and 64528, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 9264528 in words is "nine million, two hundred sixty-four thousand, five hundred twenty-eight".