9281405952 has 1056 divisors, whose sum is σ = 37635978240. Its totient is φ = 2229534720.

The previous prime is 9281405941. The next prime is 9281406011. The reversal of 9281405952 is 2595041829.

It is a happy number.

It is a super-2 number, since 2×9281405952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9281405898 and 9281405907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299400177 + ... + 299400207.

Almost surely, 2^9281405952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9281405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817989120).

9281405952 is an abundant number, since it is smaller than the sum of its proper divisors (28354572288).

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

9281405952 is a wasteful number, since it uses less digits than its factorization.

9281405952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 9281405952 is about 96340.0537263707. The cubic root of 9281405952 is about 2101.5412685286.

The spelling of 9281405952 in words is "nine billion, two hundred eighty-one million, four hundred five thousand, nine hundred fifty-two".