9762428025 has 81 divisors (see below), whose sum is σ = 20362022733. Its totient is φ = 4458081600.

The previous prime is 9762428017. The next prime is 9762428033. The reversal of 9762428025 is 5208242679.

The square root of 9762428025 is 98805.

It is a perfect power (a square), and thus also a powerful number.

9762428025 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9762428017) and next prime (9762428033).

It can be written as a sum of positive squares in 4 ways, for example, as 4149369 + 9758278656 = 2037^2 + 98784^2 .

It is not a de Polignac number, because 9762428025 - 2³ = 9762428017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10374055 + ... + 10374995.

Almost surely, 2^9762428025 is an apocalyptic number.

9762428025 is the 98805-th square number.

9762428025 is the 49403-rd centered octagonal number.

It is an amenable number.

9762428025 is an abundant number, since it is smaller than the sum of its proper divisors (10599594708).

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

9762428025 is an equidigital number, since it uses as much as digits as its factorization.

9762428025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 9762428025 is about 2137.2366598734.

The spelling of 9762428025 in words is "nine billion, seven hundred sixty-two million, four hundred twenty-eight thousand, twenty-five".