281990016 has 432 divisors, whose sum is σ = 1082838120. Its totient is φ = 68935680.

The previous prime is 281989991. The next prime is 281990057. The reversal of 281990016 is 610099182.

281990016 = 188³ + 189³ + ... + 220³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16587640 + ... + 16587656.

Almost surely, 2^281990016 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 281990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541419060).

281990016 is an abundant number, since it is smaller than the sum of its proper divisors (800848104).

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

281990016 is a wasteful number, since it uses less digits than its factorization.

281990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 281990016 is about 16792.5583518414. The cubic root of 281990016 is about 655.7594795423.

The spelling of 281990016 in words is "two hundred eighty-one million, nine hundred ninety thousand, sixteen".