1282867200 has 408 divisors, whose sum is σ = 4875841200. Its totient is φ = 330301440.

The previous prime is 1282867199. The next prime is 1282867237. The reversal of 1282867200 is 27682821.

It is a happy number.

It is a super-3 number, since 3×1282867200³ (a number of 28 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 44236786 + ... + 44236814.

Almost surely, 2^1282867200 is an apocalyptic number.

1282867200 is a gapful number since it is divisible by the number (10) 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 1282867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437920600).

1282867200 is an abundant number, since it is smaller than the sum of its proper divisors (3592974000).

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

1282867200 is an frugal number, since it uses more digits than its factorization.

1282867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1282867200 is about 35817.1355638610. The cubic root of 1282867200 is about 1086.5771481244.

The spelling of 1282867200 in words is "one billion, two hundred eighty-two million, eight hundred sixty-seven thousand, two hundred".