1280828160 has 144 divisors (see below), whose sum is σ = 4545283680. Its totient is φ = 341544960.

The previous prime is 1280828141. The next prime is 1280828173. The reversal of 1280828160 is 618280821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16030 + ... + 53090.

It is an arithmetic number, because the mean of its divisors is an integer number (31564470).

Almost surely, 2^1280828160 is an apocalyptic number.

1280828160 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 1280828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272641840).

1280828160 is an abundant number, since it is smaller than the sum of its proper divisors (3264455520).

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

1280828160 is an equidigital number, since it uses as much as digits as its factorization.

1280828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37091 (or 37071 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1280828160 is about 35788.6596563772. The cubic root of 1280828160 is about 1086.0011599145.

The spelling of 1280828160 in words is "one billion, two hundred eighty million, eight hundred twenty-eight thousand, one hundred sixty".