9028363680 has 576 divisors, whose sum is σ = 37314950400. Its totient is φ = 2060577792.

The previous prime is 9028363679. The next prime is 9028363681. The reversal of 9028363680 is 863638209.

9028363680 is a `hidden beast` number, since 9 + 0 + 2 + 8 + 3 + 636 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9028363679) and next prime (9028363681).

It is a super-2 number, since 2×9028363680² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9028363681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13335502 + ... + 13336178.

It is an arithmetic number, because the mean of its divisors is an integer number (64782900).

Almost surely, 2^9028363680 is an apocalyptic number.

9028363680 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 9028363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18657475200).

9028363680 is an abundant number, since it is smaller than the sum of its proper divisors (28286586720).

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

9028363680 is an equidigital number, since it uses as much as digits as its factorization.

9028363680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9028363680 is about 95017.7019296931. The cubic root of 9028363680 is about 2082.2666734797.

The spelling of 9028363680 in words is "nine billion, twenty-eight million, three hundred sixty-three thousand, six hundred eighty".