15138928 has 80 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 6080256.

The previous prime is 15138917. The next prime is 15138941. The reversal of 15138928 is 82983151.

It is a zygodrome in base 2.

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, 191593 + ... + 191671.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^15138928 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 15138928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

15138928 is an abundant number, since it is smaller than the sum of its proper divisors (20573072).

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

15138928 is a wasteful number, since it uses less digits than its factorization.

15138928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its digits is 17280, while the sum is 37.

The square root of 15138928 is about 3890.8775359808. The cubic root of 15138928 is about 247.3802597338.

The spelling of 15138928 in words is "fifteen million, one hundred thirty-eight thousand, nine hundred twenty-eight".