281768328000 has 896 divisors, whose sum is σ = 1104653721600. Its totient is φ = 70108416000.

The previous prime is 281768327983. The next prime is 281768328013. The reversal of 281768328000 is 823867182.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291383517 + ... + 291384483.

Almost surely, 2^281768328000 is an apocalyptic number.

281768328000 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 281768328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552326860800).

281768328000 is an abundant number, since it is smaller than the sum of its proper divisors (822885393600).

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

281768328000 is a wasteful number, since it uses less digits than its factorization.

281768328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 281768328000 in words is "two hundred eighty-one billion, seven hundred sixty-eight million, three hundred twenty-eight thousand".