3828055728 has 80 divisors (see below), whose sum is σ = 11319989760. Its totient is φ = 1091977728.

The previous prime is 3828055711. The next prime is 3828055741. The reversal of 3828055728 is 8275508283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208588 + ... + 226196.

It is an arithmetic number, because the mean of its divisors is an integer number (141499872).

Almost surely, 2^3828055728 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 3828055728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659994880).

3828055728 is an abundant number, since it is smaller than the sum of its proper divisors (7491934032).

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

3828055728 is a wasteful number, since it uses less digits than its factorization.

3828055728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18274 (or 18268 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 3828055728 is about 61871.2835489939. The cubic root of 3828055728 is about 1564.3217505547.

The spelling of 3828055728 in words is "three billion, eight hundred twenty-eight million, fifty-five thousand, seven hundred twenty-eight".