282898516193280 has 3744 divisors, whose sum is σ = 1222984480573440. Its totient is φ = 60021622702080.

The previous prime is 282898516193273. The next prime is 282898516193291. The reversal of 282898516193280 is 82391615898282.

282898516193280 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 98 + 516 + 19 + 3 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is a junction number, because it is equal to n+sod(n) for n = 282898516193199 and 282898516193208.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 311905750587 + ... + 311905751493.

It is an arithmetic number, because the mean of its divisors is an integer number (326651837760).

Almost surely, 2^{282898516193280} is an apocalyptic number.

282898516193280 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 282898516193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611492240286720).

282898516193280 is an abundant number, since it is smaller than the sum of its proper divisors (940085964380160).

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

282898516193280 is a wasteful number, since it uses less digits than its factorization.

282898516193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 282898516193280 in words is "two hundred eighty-two trillion, eight hundred ninety-eight billion, five hundred sixteen million, one hundred ninety-three thousand, two hundred eighty".