103728352 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 40601088.

The previous prime is 103728349. The next prime is 103728371. The reversal of 103728352 is 253827301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521149 + ... + 521347.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^103728352 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 103728352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

103728352 is an abundant number, since it is smaller than the sum of its proper divisors (150287648).

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

103728352 is a wasteful number, since it uses less digits than its factorization.

103728352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 103728352 is about 10184.7116797679. The cubic root of 103728352 is about 469.8571347882.

The spelling of 103728352 in words is "one hundred three million, seven hundred twenty-eight thousand, three hundred fifty-two".