281638000 has 80 divisors (see below), whose sum is σ = 778325184. Its totient is φ = 96556800.

The previous prime is 281637989. The next prime is 281638057. The reversal of 281638000 is 836182.

281638000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 281638000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3942 + ... + 24058.

Almost surely, 2^281638000 is an apocalyptic number.

281638000 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 281638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389162592).

281638000 is an abundant number, since it is smaller than the sum of its proper divisors (496687184).

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

281638000 is a wasteful number, since it uses less digits than its factorization.

281638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20147 (or 20131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 281638000 is about 16782.0737693528. The cubic root of 281638000 is about 655.4864983062.

It can be divided in two parts, 28163 and 8000, that added together give a palindrome (36163).

The spelling of 281638000 in words is "two hundred eighty-one million, six hundred thirty-eight thousand".