10387728 has 120 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 3075840.

The previous prime is 10387723. The next prime is 10387739. The reversal of 10387728 is 82778301.

It is a Cunningham number, because it is equal to 3223²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10387692 and 10387701.

It is not an unprimeable number, because it can be changed into a prime (10387721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57943 + ... + 58121.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 2^10387728 is an apocalyptic number.

10387728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10387728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

10387728 is an abundant number, since it is smaller than the sum of its proper divisors (22110192).

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

10387728 is a wasteful number, since it uses less digits than its factorization.

10387728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 10387728 is about 3222.9998448650. Note that the first 3 decimals coincide. The cubic root of 10387728 is about 218.1926865798.

The spelling of 10387728 in words is "ten million, three hundred eighty-seven thousand, seven hundred twenty-eight".