103828128 has 48 divisors (see below), whose sum is σ = 276405696. Its totient is φ = 34119680.

The previous prime is 103828099. The next prime is 103828157. The reversal of 103828128 is 821828301.

It is an interprime number because it is at equal distance from previous prime (103828099) and next prime (103828157).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801 + ... + 14432.

It is an arithmetic number, because the mean of its divisors is an integer number (5758452).

Almost surely, 2^103828128 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 103828128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138202848).

103828128 is an abundant number, since it is smaller than the sum of its proper divisors (172577568).

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

103828128 is a wasteful number, since it uses less digits than its factorization.

103828128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15317 (or 15309 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 103828128 is about 10189.6088246802. The cubic root of 103828128 is about 470.0077379140.

The spelling of 103828128 in words is "one hundred three million, eight hundred twenty-eight thousand, one hundred twenty-eight".