9282420900 has 216 divisors, whose sum is σ = 29524360320. Its totient is φ = 2439141120.

The previous prime is 9282420893. The next prime is 9282420907. The reversal of 9282420900 is 90242829.

It is an interprime number because it is at equal distance from previous prime (9282420893) and next prime (9282420907).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9282420907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25292517 + ... + 25292883.

Almost surely, 2^9282420900 is an apocalyptic number.

9282420900 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 9282420900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14762180160).

9282420900 is an abundant number, since it is smaller than the sum of its proper divisors (20241939420).

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

9282420900 is a wasteful number, since it uses less digits than its factorization.

9282420900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9282420900 is about 96345.3211110950. The cubic root of 9282420900 is about 2101.6178688977.

The spelling of 9282420900 in words is "nine billion, two hundred eighty-two million, four hundred twenty thousand, nine hundred".