283321728 has 288 divisors, whose sum is σ = 928146960. Its totient is φ = 82722816.

The previous prime is 283321693. The next prime is 283321739. The reversal of 283321728 is 827123382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 283321692 and 283321701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7657326 + ... + 7657362.

Almost surely, 2^283321728 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 283321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464073480).

283321728 is an abundant number, since it is smaller than the sum of its proper divisors (644825232).

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

283321728 is a wasteful number, since it uses less digits than its factorization.

283321728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 283321728 is about 16832.1634973048. The cubic root of 283321728 is about 656.7901444675.

The spelling of 283321728 in words is "two hundred eighty-three million, three hundred twenty-one thousand, seven hundred twenty-eight".