283880106048 has 672 divisors, whose sum is σ = 985833659520. Its totient is φ = 71252213760.

The previous prime is 283880106043. The next prime is 283880106049. The reversal of 283880106048 is 840601088382.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 283880105988 and 283880106006.

It is not an unprimeable number, because it can be changed into a prime (283880106043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400394718 + ... + 400395426.

Almost surely, 2^283880106048 is an apocalyptic number.

283880106048 is a gapful number since it is divisible by the number (28) 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 283880106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492916829760).

283880106048 is an abundant number, since it is smaller than the sum of its proper divisors (701953553472).

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

283880106048 is a wasteful number, since it uses less digits than its factorization.

283880106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 283880106048 in words is "two hundred eighty-three billion, eight hundred eighty million, one hundred six thousand, forty-eight".