1028560896 has 384 divisors, whose sum is σ = 3538080000. Its totient is φ = 291962880.

The previous prime is 1028560889. The next prime is 1028560909. The reversal of 1028560896 is 6980658201.

1028560896 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 560 + 89 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11556820 + ... + 11556908.

It is an arithmetic number, because the mean of its divisors is an integer number (9213750).

Almost surely, 2^1028560896 is an apocalyptic number.

1028560896 is a gapful number since it is divisible by the number (16) 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 1028560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040000).

1028560896 is an abundant number, since it is smaller than the sum of its proper divisors (2509519104).

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

1028560896 is a wasteful number, since it uses less digits than its factorization.

1028560896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1028560896 is about 32071.1848237635. The cubic root of 1028560896 is about 1009.4310738957.

The spelling of 1028560896 in words is "one billion, twenty-eight million, five hundred sixty thousand, eight hundred ninety-six".