7283808000 has 432 divisors, whose sum is σ = 29961736896. Its totient is φ = 1664409600.

The previous prime is 7283807977. The next prime is 7283808017. The reversal of 7283808000 is 8083827.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014194 + ... + 2017806.

Almost surely, 2^7283808000 is an apocalyptic number.

7283808000 is a gapful number since it is divisible by the number (70) 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 7283808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980868448).

7283808000 is an abundant number, since it is smaller than the sum of its proper divisors (22677928896).

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

7283808000 is a wasteful number, since it uses less digits than its factorization.

7283808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7283808000 is about 85345.2283376171. The cubic root of 7283808000 is about 1938.4420836468.

The spelling of 7283808000 in words is "seven billion, two hundred eighty-three million, eight hundred eight thousand".