9280086552 has 192 divisors, whose sum is σ = 30117484800. Its totient is φ = 2548212480.

The previous prime is 9280086551. The next prime is 9280086559. The reversal of 9280086552 is 2556800829.

9280086552 is a `hidden beast` number, since 92 + 8 + 0 + 0 + 8 + 6 + 552 = 666.

It is a super-2 number, since 2×9280086552² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9280086498 and 9280086507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9280086551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332698 + ... + 359510.

It is an arithmetic number, because the mean of its divisors is an integer number (156861900).

Almost surely, 2^9280086552 is an apocalyptic number.

9280086552 is a gapful number since it is divisible by the number (92) 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 9280086552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058742400).

9280086552 is an abundant number, since it is smaller than the sum of its proper divisors (20837398248).

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

9280086552 is a wasteful number, since it uses less digits than its factorization.

9280086552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26878 (or 26871 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 9280086552 is about 96333.2058638142. The cubic root of 9280086552 is about 2101.4416821455.

The spelling of 9280086552 in words is "nine billion, two hundred eighty million, eighty-six thousand, five hundred fifty-two".