283328760 has 384 divisors, whose sum is σ = 1072512000. Its totient is φ = 59304960.

The previous prime is 283328723. The next prime is 283328761. The reversal of 283328760 is 67823382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283328761) 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, 3586401 + ... + 3586479.

It is an arithmetic number, because the mean of its divisors is an integer number (2793000).

Almost surely, 2^283328760 is an apocalyptic number.

283328760 is a gapful number since it is divisible by the number (20) 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 283328760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256000).

283328760 is an abundant number, since it is smaller than the sum of its proper divisors (789183240).

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

283328760 is a wasteful number, since it uses less digits than its factorization.

283328760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 283328760 is about 16832.3723818124. The cubic root of 283328760 is about 656.7955782313.

The spelling of 283328760 in words is "two hundred eighty-three million, three hundred twenty-eight thousand, seven hundred sixty".