10015728 has 80 divisors (see below), whose sum is σ = 27426816. Its totient is φ = 3144960.

The previous prime is 10015727. The next prime is 10015739. The reversal of 10015728 is 82751001.

10015728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10015698 and 10015707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78801 + ... + 78927.

Almost surely, 2^10015728 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 10015728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713408).

10015728 is an abundant number, since it is smaller than the sum of its proper divisors (17411088).

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

10015728 is a wasteful number, since it uses less digits than its factorization.

10015728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 10015728 is about 3164.7634982728. The cubic root of 10015728 is about 215.5563596684.

Adding to 10015728 its reverse (82751001), we get a palindrome (92766729).

The spelling of 10015728 in words is "ten million, fifteen thousand, seven hundred twenty-eight".