90028224 has 168 divisors, whose sum is σ = 303440592. Its totient is φ = 25159680.

The previous prime is 90028219. The next prime is 90028241. The reversal of 90028224 is 42282009.

It is a super-2 number, since 2×90028224² = 16210162233188352, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 81822 + ... + 82914.

It is an arithmetic number, because the mean of its divisors is an integer number (1806194).

Almost surely, 2^90028224 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 90028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151720296).

90028224 is an abundant number, since it is smaller than the sum of its proper divisors (213412368).

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

90028224 is a wasteful number, since it uses less digits than its factorization.

90028224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 90028224 is about 9488.3203993120. The cubic root of 90028224 is about 448.1873153773.

It can be divided in two parts, 900 and 28224, that multiplied together give a square (25401600 = 5040²).

The spelling of 90028224 in words is "ninety million, twenty-eight thousand, two hundred twenty-four".