1283530248 has 288 divisors, whose sum is σ = 4705646400. Its totient is φ = 307549440.

The previous prime is 1283530247. The next prime is 1283530267. The reversal of 1283530248 is 8420353821.

1283530248 is a `hidden beast` number, since 1 + 2 + 83 + 530 + 2 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1283530247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 791983 + ... + 793601.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 2^1283530248 is an apocalyptic number.

1283530248 is a gapful number since it is divisible by the number (18) 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 1283530248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352823200).

1283530248 is an abundant number, since it is smaller than the sum of its proper divisors (3422116152).

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

1283530248 is a wasteful number, since it uses less digits than its factorization.

1283530248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1283530248 is about 35826.3903847429. The cubic root of 1283530248 is about 1086.7643144757.

The spelling of 1283530248 in words is "one billion, two hundred eighty-three million, five hundred thirty thousand, two hundred forty-eight".