9285477120 has 576 divisors, whose sum is σ = 34755194880. Its totient is φ = 2373857280.

The previous prime is 9285477109. The next prime is 9285477139. The reversal of 9285477120 is 217745829.

It is a happy number.

9285477120 is a `hidden beast` number, since 92 + 8 + 547 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86780107 + ... + 86780213.

It is an arithmetic number, because the mean of its divisors is an integer number (60338880).

Almost surely, 2^9285477120 is an apocalyptic number.

9285477120 is a gapful number since it is divisible by the number (90) 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 9285477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377597440).

9285477120 is an abundant number, since it is smaller than the sum of its proper divisors (25469717760).

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

9285477120 is an equidigital number, since it uses as much as digits as its factorization.

9285477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 9285477120 is about 96361.1805656199. The cubic root of 9285477120 is about 2101.8484948605.

The spelling of 9285477120 in words is "nine billion, two hundred eighty-five million, four hundred seventy-seven thousand, one hundred twenty".