90483228000 has 576 divisors, whose sum is σ = 358926894144. Its totient is φ = 21396480000.

The previous prime is 90483227977. The next prime is 90483228007. The reversal of 90483228000 is 82238409.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90483228007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16233214 + ... + 16238786.

It is an arithmetic number, because the mean of its divisors is an integer number (623136969).

Almost surely, 2^90483228000 is an apocalyptic number.

90483228000 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 90483228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179463447072).

90483228000 is an abundant number, since it is smaller than the sum of its proper divisors (268443666144).

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

90483228000 is a wasteful number, since it uses less digits than its factorization.

90483228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5656 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 90483228000 in words is "ninety billion, four hundred eighty-three million, two hundred twenty-eight thousand".