283928832 has 216 divisors, whose sum is σ = 947026080. Its totient is φ = 80855040.

The previous prime is 283928809. The next prime is 283928881. The reversal of 283928832 is 238829382.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430519 + ... + 431177.

It is an arithmetic number, because the mean of its divisors is an integer number (4384380).

Almost surely, 2^283928832 is an apocalyptic number.

283928832 is a gapful number since it is divisible by the number (22) 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 283928832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473513040).

283928832 is an abundant number, since it is smaller than the sum of its proper divisors (663097248).

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

283928832 is a wasteful number, since it uses less digits than its factorization.

283928832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 692 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 283928832 is about 16850.1878921275. The cubic root of 283928832 is about 657.2589347924.

The spelling of 283928832 in words is "two hundred eighty-three million, nine hundred twenty-eight thousand, eight hundred thirty-two".