10026351328 has 144 divisors (see below), whose sum is σ = 23830474752. Its totient is φ = 4065811200.

The previous prime is 10026351311. The next prime is 10026351331. The reversal of 10026351328 is 82315362001.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 10026351328.

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 23 ways as a sum of consecutive naturals, for example, 10116913 + ... + 10117903.

It is an arithmetic number, because the mean of its divisors is an integer number (165489408).

Almost surely, 2^10026351328 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 10026351328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11915237376).

10026351328 is an abundant number, since it is smaller than the sum of its proper divisors (13804123424).

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

10026351328 is an equidigital number, since it uses as much as digits as its factorization.

10026351328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 10026351328 in words is "ten billion, twenty-six million, three hundred fifty-one thousand, three hundred twenty-eight".