281373589728 has 1152 divisors, whose sum is σ = 1095249254400. Its totient is φ = 68647772160.

The previous prime is 281373589723. The next prime is 281373589793. The reversal of 281373589728 is 827985373182.

281373589728 is a `hidden beast` number, since 28 + 1 + 3 + 7 + 3 + 589 + 7 + 28 = 666.

It is a super-2 number, since 2×281373589728² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281373589723) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1228705518 + ... + 1228705746.

It is an arithmetic number, because the mean of its divisors is an integer number (950737200).

Almost surely, 2^281373589728 is an apocalyptic number.

281373589728 is a gapful number since it is divisible by the number (28) 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 281373589728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547624627200).

281373589728 is an abundant number, since it is smaller than the sum of its proper divisors (813875664672).

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

281373589728 is a wasteful number, since it uses less digits than its factorization.

281373589728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 348 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 281373589728 in words is "two hundred eighty-one billion, three hundred seventy-three million, five hundred eighty-nine thousand, seven hundred twenty-eight".