1092768456 has 128 divisors (see below), whose sum is σ = 3089560320. Its totient is φ = 319570944.

The previous prime is 1092768407. The next prime is 1092768473. The reversal of 1092768456 is 6548672901.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 1413286 + ... + 1414058.

It is an arithmetic number, because the mean of its divisors is an integer number (24137190).

Almost surely, 2^1092768456 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 1092768456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544780160).

1092768456 is an abundant number, since it is smaller than the sum of its proper divisors (1996791864).

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

1092768456 is a wasteful number, since it uses less digits than its factorization.

1092768456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 1092768456 is about 33057.0485070885. The cubic root of 1092768456 is about 1030.0130252540.

The spelling of 1092768456 in words is "one billion, ninety-two million, seven hundred sixty-eight thousand, four hundred fifty-six".