283968768528 has 120 divisors (see below), whose sum is σ = 797781224448. Its totient is φ = 94292073216.

The previous prime is 283968768481. The next prime is 283968768557. The reversal of 283968768528 is 825867869382.

283968768528 is a `hidden beast` number, since 2 + 8 + 3 + 96 + 8 + 7 + 6 + 8 + 528 = 666.

It is a super-2 number, since 2×283968768528² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52226226 + ... + 52231662.

Almost surely, 2^283968768528 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 283968768528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398890612224).

283968768528 is an abundant number, since it is smaller than the sum of its proper divisors (513812455920).

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

283968768528 is a wasteful number, since it uses less digits than its factorization.

283968768528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6772 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 283968768528 in words is "two hundred eighty-three billion, nine hundred sixty-eight million, seven hundred sixty-eight thousand, five hundred twenty-eight".