1282635648 has 384 divisors, whose sum is σ = 4508824320. Its totient is φ = 355332096.

The previous prime is 1282635637. The next prime is 1282635659. The reversal of 1282635648 is 8465362821.

1282635648 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 635 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1282635637) and next prime (1282635659).

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (552960) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9362236 + ... + 9362372.

It is an arithmetic number, because the mean of its divisors is an integer number (11741730).

Almost surely, 2^1282635648 is an apocalyptic number.

1282635648 is a gapful number since it is divisible by the number (18) 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 1282635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254412160).

1282635648 is an abundant number, since it is smaller than the sum of its proper divisors (3226188672).

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

1282635648 is an equidigital number, since it uses as much as digits as its factorization.

1282635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1282635648 is about 35813.9029986959. The cubic root of 1282635648 is about 1086.5117700269.

The spelling of 1282635648 in words is "one billion, two hundred eighty-two million, six hundred thirty-five thousand, six hundred forty-eight".