1282520928 has 96 divisors (see below), whose sum is σ = 3635688672. Its totient is φ = 393523200.

The previous prime is 1282520909. The next prime is 1282520929. The reversal of 1282520928 is 8290252821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282520929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524188 + ... + 526628.

It is an arithmetic number, because the mean of its divisors is an integer number (37871757).

Almost surely, 2^1282520928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1282520928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817844336).

1282520928 is an abundant number, since it is smaller than the sum of its proper divisors (2353167744).

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

1282520928 is a wasteful number, since it uses less digits than its factorization.

1282520928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1282520928 is about 35812.3013502344. The cubic root of 1282520928 is about 1086.4793762221.

The spelling of 1282520928 in words is "one billion, two hundred eighty-two million, five hundred twenty thousand, nine hundred twenty-eight".