281638672 has 160 divisors (see below), whose sum is σ = 697376000. Its totient is φ = 109734912.

The previous prime is 281638663. The next prime is 281638681. The reversal of 281638672 is 276836182.

It is an interprime number because it is at equal distance from previous prime (281638663) and next prime (281638681).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3858028 + ... + 3858100.

It is an arithmetic number, because the mean of its divisors is an integer number (4358600).

Almost surely, 2^281638672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281638672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348688000).

281638672 is an abundant number, since it is smaller than the sum of its proper divisors (415737328).

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

281638672 is a wasteful number, since it uses less digits than its factorization.

281638672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 281638672 is about 16782.0937907044. The cubic root of 281638672 is about 655.4870196452.

The spelling of 281638672 in words is "two hundred eighty-one million, six hundred thirty-eight thousand, six hundred seventy-two".