10728578880 has 336 divisors, whose sum is σ = 37953452160. Its totient is φ = 2780614656.

The previous prime is 10728578879. The next prime is 10728578891. The reversal of 10728578880 is 8887582701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17501454 + ... + 17502066.

Almost surely, 2^10728578880 is an apocalyptic number.

10728578880 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 10728578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18976726080).

10728578880 is an abundant number, since it is smaller than the sum of its proper divisors (27224873280).

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

10728578880 is a wasteful number, since it uses less digits than its factorization.

10728578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 10728578880 in words is "ten billion, seven hundred twenty-eight million, five hundred seventy-eight thousand, eight hundred eighty".