283428028857600 has 648 divisors, whose sum is σ = 1105601900824512. Its totient is φ = 68699706163200.

The previous prime is 283428028857599. The next prime is 283428028857713. The reversal of 283428028857600 is 6758820824382.

283428028857600 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 280 + 288 + 5 + 76 + 0 + 0 = 666.

It is a super-2 number, since 2×283428028857600² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4870454104 + ... + 4870512296.

Almost surely, 2^{283428028857600} is an apocalyptic number.

283428028857600 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 283428028857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552800950412256).

283428028857600 is an abundant number, since it is smaller than the sum of its proper divisors (822173871966912).

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

283428028857600 is a wasteful number, since it uses less digits than its factorization.

283428028857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65923 (or 65901 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 283428028857600 in words is "two hundred eighty-three trillion, four hundred twenty-eight billion, twenty-eight million, eight hundred fifty-seven thousand, six hundred".