282920990400 has 672 divisors, whose sum is σ = 1095543005760. Its totient is φ = 70778880000.

The previous prime is 282920990399. The next prime is 282920990411. The reversal of 282920990400 is 4099029282.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 441374080 + ... + 441374720.

It is an arithmetic number, because the mean of its divisors is an integer number (1630272330).

Almost surely, 2^282920990400 is an apocalyptic number.

282920990400 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 282920990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547771502880).

282920990400 is an abundant number, since it is smaller than the sum of its proper divisors (812622015360).

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

282920990400 is a wasteful number, since it uses less digits than its factorization.

282920990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 282920990400 in words is "two hundred eighty-two billion, nine hundred twenty million, nine hundred ninety thousand, four hundred".