282880090400 has 72 divisors (see below), whose sum is σ = 707424542244. Its totient is φ = 110392217600.

The previous prime is 282880090399. The next prime is 282880090429. The reversal of 282880090400 is 4090088282.

It can be written as a sum of positive squares in 6 ways, for example, as 118443352336 + 164436738064 = 344156^2 + 405508^2 .

It is a super-2 number, since 2×282880090400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4279397 + ... + 4344996.

Almost surely, 2^282880090400 is an apocalyptic number.

282880090400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282880090400 is an abundant number, since it is smaller than the sum of its proper divisors (424544451844).

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

282880090400 is a wasteful number, since it uses less digits than its factorization.

282880090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624454 (or 8624441 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 282880090400 in words is "two hundred eighty-two billion, eight hundred eighty million, ninety thousand, four hundred".