9026208000 has 576 divisors, whose sum is σ = 34488330240. Its totient is φ = 2322432000.

The previous prime is 9026207951. The next prime is 9026208091. The reversal of 9026208000 is 8026209.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26783832 + ... + 26784168.

Almost surely, 2^9026208000 is an apocalyptic number.

9026208000 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 9026208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244165120).

9026208000 is an abundant number, since it is smaller than the sum of its proper divisors (25462122240).

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

9026208000 is a wasteful number, since it uses less digits than its factorization.

9026208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9026208000 is about 95006.3576819994. The cubic root of 9026208000 is about 2082.1009344052.

The spelling of 9026208000 in words is "nine billion, twenty-six million, two hundred eight thousand".