9289875456 has 135 divisors (see below), whose sum is σ = 26943943663. Its totient is φ = 3084288000.

The previous prime is 9289875443. The next prime is 9289875461. The reversal of 9289875456 is 6545789829.

The square root of 9289875456 is 96384.

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

9289875456 is a `hidden beast` number, since 9 + 2 + 8 + 9 + 87 + 545 + 6 = 666.

It is a Duffinian number.

Its product of digits (43545600) is a multiple of the sum of its prime divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 9289875393 and 9289875402.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37011331 + ... + 37011581.

Almost surely, 2^9289875456 is an apocalyptic number.

9289875456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9289875456 is the 96384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9289875456

9289875456 is an abundant number, since it is smaller than the sum of its proper divisors (17654068207).

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

9289875456 is an frugal number, since it uses more digits than its factorization.

9289875456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 256 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The cubic root of 9289875456 is about 2102.1803096756.

The spelling of 9289875456 in words is "nine billion, two hundred eighty-nine million, eight hundred seventy-five thousand, four hundred fifty-six".