10216728 has 72 divisors (see below), whose sum is σ = 29453580. Its totient is φ = 3198720.

The previous prime is 10216727. The next prime is 10216747. The reversal of 10216728 is 82761201.

10216728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216727) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20563 + ... + 21053.

Almost surely, 2^10216728 is an apocalyptic number.

10216728 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 10216728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14726790).

10216728 is an abundant number, since it is smaller than the sum of its proper divisors (19236852).

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

10216728 is a wasteful number, since it uses less digits than its factorization.

10216728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10216728 is about 3196.3616816624. The cubic root of 10216728 is about 216.9887795313.

Adding to 10216728 its reverse (82761201), we get a palindrome (92977929).

The spelling of 10216728 in words is "ten million, two hundred sixteen thousand, seven hundred twenty-eight".