10081028840 has 64 divisors (see below), whose sum is σ = 23071392000. Its totient is φ = 3963697920.

The previous prime is 10081028821. The next prime is 10081028887. The reversal of 10081028840 is 4882018001.

It is a junction number, because it is equal to n+sod(n) for n = 10081028797 and 10081028806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716675 + ... + 730605.

It is an arithmetic number, because the mean of its divisors is an integer number (360490500).

Almost surely, 2^10081028840 is an apocalyptic number.

10081028840 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 10081028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535696000).

10081028840 is an abundant number, since it is smaller than the sum of its proper divisors (12990363160).

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

10081028840 is a wasteful number, since it uses less digits than its factorization.

10081028840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14250 (or 14246 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 10081028840 in words is "ten billion, eighty-one million, twenty-eight thousand, eight hundred forty".