10028190179904 has 224 divisors, whose sum is σ = 29589684808320. Its totient is φ = 2976126763008.

The previous prime is 10028190179849. The next prime is 10028190179911. The reversal of 10028190179904 is 40997109182001.

It is a happy 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, 70648267 + ... + 70790069.

It is an arithmetic number, because the mean of its divisors is an integer number (132096807180).

Almost surely, 2^{10028190179904} 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 10028190179904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794842404160).

10028190179904 is an abundant number, since it is smaller than the sum of its proper divisors (19561494628416).

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

10028190179904 is a wasteful number, since it uses less digits than its factorization.

10028190179904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142837 (or 142827 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 51.

The spelling of 10028190179904 in words is "ten trillion, twenty-eight billion, one hundred ninety million, one hundred seventy-nine thousand, nine hundred four".