282037938 has 128 divisors (see below), whose sum is σ = 755220480. Its totient is φ = 68117760.

The previous prime is 282037933. The next prime is 282037961. The reversal of 282037938 is 839730282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 282037938.

It is not an unprimeable number, because it can be changed into a prime (282037933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321156 + ... + 322032.

It is an arithmetic number, because the mean of its divisors is an integer number (5900160).

Almost surely, 2^282037938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282037938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377610240).

282037938 is an abundant number, since it is smaller than the sum of its proper divisors (473182542).

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

282037938 is a wasteful number, since it uses less digits than its factorization.

282037938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 282037938 is about 16793.9851732696. The cubic root of 282037938 is about 655.7966245049.

The spelling of 282037938 in words is "two hundred eighty-two million, thirty-seven thousand, nine hundred thirty-eight".