10639728 has 80 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 3222720.

The previous prime is 10639711. The next prime is 10639729. The reversal of 10639728 is 82793601.

10639728 is a `hidden beast` number, since 10 + 639 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×10639728² = 226407623827968, which contains 22 as substring.

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 = 10639692 and 10639701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10639729) 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, 3633 + ... + 5871.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^10639728 is an apocalyptic number.

10639728 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 10639728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

10639728 is an abundant number, since it is smaller than the sum of its proper divisors (22691472).

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

10639728 is a wasteful number, since it uses less digits than its factorization.

10639728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10639728 is about 3261.8595923185. The cubic root of 10639728 is about 219.9430155442.

The spelling of 10639728 in words is "ten million, six hundred thirty-nine thousand, seven hundred twenty-eight".