282992640 has 336 divisors, whose sum is σ = 1075773312. Its totient is φ = 63307776.

The previous prime is 282992629. The next prime is 282992641. The reversal of 282992640 is 46299282.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 282992592 and 282992601.

It is not an unprimeable number, because it can be changed into a prime (282992641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6021097 + ... + 6021143.

Almost surely, 2^282992640 is an apocalyptic number.

282992640 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 282992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537886656).

282992640 is an abundant number, since it is smaller than the sum of its proper divisors (792780672).

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

282992640 is an equidigital number, since it uses as much as digits as its factorization.

282992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 282992640 is about 16822.3850865447. The cubic root of 282992640 is about 656.5357511128.

The spelling of 282992640 in words is "two hundred eighty-two million, nine hundred ninety-two thousand, six hundred forty".