10048409176728 has 128 divisors (see below), whose sum is σ = 27641951628480. Its totient is φ = 3024886824960.

The previous prime is 10048409176709. The next prime is 10048409176759. The reversal of 10048409176728 is 82767190484001.

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 31 ways as a sum of consecutive naturals, for example, 4976488 + ... + 6697928.

Almost surely, 2^{10048409176728} 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 10048409176728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820975814240).

10048409176728 is an abundant number, since it is smaller than the sum of its proper divisors (17593542451752).

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

10048409176728 is a wasteful number, since it uses less digits than its factorization.

10048409176728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721869 (or 1721865 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 10048409176728 in words is "ten trillion, forty-eight billion, four hundred nine million, one hundred seventy-six thousand, seven hundred twenty-eight".