9028800 has 336 divisors, whose sum is σ = 37795200. Its totient is φ = 2073600.

The previous prime is 9028787. The next prime is 9028801. The reversal of 9028800 is 88209.

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

It is not an unprimeable number, because it can be changed into a prime (9028801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475191 + ... + 475209.

Almost surely, 2^9028800 is an apocalyptic number.

9028800 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 9028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897600).

9028800 is an abundant number, since it is smaller than the sum of its proper divisors (28766400).

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

9028800 is a wasteful number, since it uses less digits than its factorization.

9028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9028800 is about 3004.7961661317. The cubic root of 9028800 is about 208.2300216655.

The spelling of 9028800 in words is "nine million, twenty-eight thousand, eight hundred".