9825228288 has 320 divisors, whose sum is σ = 30452336640. Its totient is φ = 3124224000.

The previous prime is 9825228277. The next prime is 9825228311. The reversal of 9825228288 is 8828225289.

9825228288 is a `hidden beast` number, since 98 + 2 + 522 + 8 + 28 + 8 = 666.

It is a super-2 number, since 2×9825228288² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43282831 + ... + 43283057.

It is an arithmetic number, because the mean of its divisors is an integer number (95163552).

Almost surely, 2^9825228288 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 9825228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226168320).

9825228288 is an abundant number, since it is smaller than the sum of its proper divisors (20627108352).

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

9825228288 is a wasteful number, since it uses less digits than its factorization.

9825228288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 364 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 9825228288 is about 99122.2895619346. The cubic root of 9825228288 is about 2141.8097109085.

Subtracting from 9825228288 its reverse (8828225289), we obtain a cube (997002999 = 999³).

The spelling of 9825228288 in words is "nine billion, eight hundred twenty-five million, two hundred twenty-eight thousand, two hundred eighty-eight".