283338427680 has 2304 divisors, whose sum is σ = 1339058552832. Its totient is φ = 54867456000.

The previous prime is 283338427639. The next prime is 283338427693. The reversal of 283338427680 is 86724833382.

283338427680 is a `hidden beast` number, since 283 + 338 + 4 + 27 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3990682045 + ... + 3990682115.

It is an arithmetic number, because the mean of its divisors is an integer number (581188608).

Almost surely, 2^283338427680 is an apocalyptic number.

283338427680 is a gapful number since it is divisible by the number (20) 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 283338427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669529276416).

283338427680 is an abundant number, since it is smaller than the sum of its proper divisors (1055720125152).

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

283338427680 is a wasteful number, since it uses less digits than its factorization.

283338427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 283338427680 in words is "two hundred eighty-three billion, three hundred thirty-eight million, four hundred twenty-seven thousand, six hundred eighty".