9280512000 has 672 divisors, whose sum is σ = 35882701920. Its totient is φ = 2300313600.

The previous prime is 9280511963. The next prime is 9280512071. The reversal of 9280512000 is 2150829.

It is a super-2 number, since 2×9280512000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175103974 + ... + 175104026.

Almost surely, 2^9280512000 is an apocalyptic number.

9280512000 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 9280512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17941350960).

9280512000 is an abundant number, since it is smaller than the sum of its proper divisors (26602189920).

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

9280512000 is a wasteful number, since it uses less digits than its factorization.

9280512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 9280512000 is about 96335.4140490401. The cubic root of 9280512000 is about 2101.4737953696.

Adding to 9280512000 its reverse (2150829), we get a palindrome (9282662829).

The spelling of 9280512000 in words is "nine billion, two hundred eighty million, five hundred twelve thousand".