283347792 has 180 divisors, whose sum is σ = 993725460. Its totient is φ = 74704896.

The previous prime is 283347763. The next prime is 283347793. The reversal of 283347792 is 297743382.

It can be written as a sum of positive squares in 2 ways, for example, as 156650256 + 126697536 = 12516^2 + 11256^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283347793) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90184 + ... + 93272.

It is an arithmetic number, because the mean of its divisors is an integer number (5520697).

Almost surely, 2^283347792 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 283347792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496862730).

283347792 is an abundant number, since it is smaller than the sum of its proper divisors (710377668).

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

283347792 is a wasteful number, since it uses less digits than its factorization.

283347792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3114 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 283347792 is about 16832.9377115226. The cubic root of 283347792 is about 656.8102841787.

It can be divided in two parts, 2833 and 47792, that added together give a 4-th power (50625 = 15⁴).

The spelling of 283347792 in words is "two hundred eighty-three million, three hundred forty-seven thousand, seven hundred ninety-two".