10207728 has 40 divisors (see below), whose sum is σ = 29301200. Its totient is φ = 3402432.

The previous prime is 10207723. The next prime is 10207759. The reversal of 10207728 is 82770201.

10207728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10207723) 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, 11383 + ... + 12246.

It is an arithmetic number, because the mean of its divisors is an integer number (732530).

Almost surely, 2^10207728 is an apocalyptic number.

10207728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10207728 is an abundant number, since it is smaller than the sum of its proper divisors (19093472).

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

10207728 is a wasteful number, since it uses less digits than its factorization.

10207728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23646 (or 23634 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10207728 is about 3194.9535207887. The cubic root of 10207728 is about 216.9250450774.

Adding to 10207728 its reverse (82770201), we get a palindrome (92977929).

The spelling of 10207728 in words is "ten million, two hundred seven thousand, seven hundred twenty-eight".