3928826880 has 528 divisors, whose sum is σ = 15542527104. Its totient is φ = 908328960.

The previous prime is 3928826801. The next prime is 3928826887. The reversal of 3928826880 is 886288293.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (3928826887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11658072 + ... + 11658408.

Almost surely, 2^3928826880 is an apocalyptic number.

3928826880 is a gapful number since it is divisible by the number (30) 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 3928826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771263552).

3928826880 is an abundant number, since it is smaller than the sum of its proper divisors (11613700224).

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

3928826880 is a wasteful number, since it uses less digits than its factorization.

3928826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 3928826880 is about 62680.3548171195. The cubic root of 3928826880 is about 1577.9296281513.

The spelling of 3928826880 in words is "three billion, nine hundred twenty-eight million, eight hundred twenty-six thousand, eight hundred eighty".