3728928 has 96 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1025280.

The previous prime is 3728911. The next prime is 3728939. The reversal of 3728928 is 8298273.

It is a tau number, because it is divible by the number of its divisors (96).

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, 20743 + ... + 20921.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^3728928 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 3728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3728928 is an abundant number, since it is smaller than the sum of its proper divisors (7883232).

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

3728928 is a wasteful number, since it uses less digits than its factorization.

3728928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 3728928 is about 1931.0432413594. The cubic root of 3728928 is about 155.0700758407.

It can be divided in two parts, 3728 and 928, that added together give a triangular number (4656 = T₉₆).

The spelling of 3728928 in words is "three million, seven hundred twenty-eight thousand, nine hundred twenty-eight".