38725728 has 96 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 11919360.

The previous prime is 38725691. The next prime is 38725733. The reversal of 38725728 is 82752783.

It is a Cunningham number, because it is equal to 6223²-1.

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

Its product of digits (188160) is a multiple of the sum of its prime factors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 38725728.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99358 + ... + 99746.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 2^38725728 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 38725728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

38725728 is an abundant number, since it is smaller than the sum of its proper divisors (70954752).

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

38725728 is a wasteful number, since it uses less digits than its factorization.

38725728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 38725728 is about 6222.9999196529. Note that the first 4 decimals coincide. The cubic root of 38725728 is about 338.3243038889.

The spelling of 38725728 in words is "thirty-eight million, seven hundred twenty-five thousand, seven hundred twenty-eight".