1286628000 has 576 divisors, whose sum is σ = 5213714688. Its totient is φ = 271564800.

The previous prime is 1286627989. The next prime is 1286628023. The reversal of 1286628000 is 8266821.

It is a super-2 number, since 2×1286628000² = 3310823220768000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24275974 + ... + 24276026.

It is an arithmetic number, because the mean of its divisors is an integer number (9051588).

Almost surely, 2^1286628000 is an apocalyptic number.

1286628000 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 1286628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606857344).

1286628000 is an abundant number, since it is smaller than the sum of its proper divisors (3927086688).

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

1286628000 is a wasteful number, since it uses less digits than its factorization.

1286628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1286628000 is about 35869.5971541360. The cubic root of 1286628000 is about 1087.6379003355.

The spelling of 1286628000 in words is "one billion, two hundred eighty-six million, six hundred twenty-eight thousand".