283048758720 has 2240 divisors, whose sum is σ = 1321807872000. Its totient is φ = 57062154240.

The previous prime is 283048758719. The next prime is 283048758737. The reversal of 283048758720 is 27857840382.

283048758720 is a `hidden beast` number, since 2 + 8 + 30 + 4 + 8 + 7 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3582895641 + ... + 3582895719.

It is an arithmetic number, because the mean of its divisors is an integer number (590092800).

Almost surely, 2^283048758720 is an apocalyptic number.

283048758720 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 283048758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660903936000).

283048758720 is an abundant number, since it is smaller than the sum of its proper divisors (1038759113280).

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

283048758720 is a wasteful number, since it uses less digits than its factorization.

283048758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 283048758720 in words is "two hundred eighty-three billion, forty-eight million, seven hundred fifty-eight thousand, seven hundred twenty".