10388928 has 56 divisors (see below), whose sum is σ = 29992320. Its totient is φ = 3147520.

The previous prime is 10388923. The next prime is 10388941. The reversal of 10388928 is 82988301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10388923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348 + ... + 4571.

Almost surely, 2^10388928 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 10388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996160).

10388928 is an abundant number, since it is smaller than the sum of its proper divisors (19603392).

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

10388928 is a wasteful number, since it uses less digits than its factorization.

10388928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 10388928 is about 3223.1860014588. The cubic root of 10388928 is about 218.2010881970.

The spelling of 10388928 in words is "ten million, three hundred eighty-eight thousand, nine hundred twenty-eight".