90228000 has 192 divisors, whose sum is σ = 302545152. Its totient is φ = 23500800.

The previous prime is 90227999. The next prime is 90228001. The reversal of 90228000 is 82209.

It is an interprime number because it is at equal distance from previous prime (90227999) and next prime (90228001).

It is not an unprimeable number, because it can be changed into a prime (90228001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875949 + ... + 876051.

It is an arithmetic number, because the mean of its divisors is an integer number (1575756).

Almost surely, 2^90228000 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 90228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151272576).

90228000 is an abundant number, since it is smaller than the sum of its proper divisors (212317152).

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

90228000 is a wasteful number, since it uses less digits than its factorization.

90228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 90228000 is about 9498.8420346903. The cubic root of 90228000 is about 448.5185852760.

The spelling of 90228000 in words is "ninety million, two hundred twenty-eight thousand".