10039728 has 40 divisors (see below), whose sum is σ = 26641648. Its totient is φ = 3255552.

The previous prime is 10039697. The next prime is 10039739. The reversal of 10039728 is 82793001.

It is a happy number.

It is a super-3 number, since 3×10039728³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10039695 and 10039704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051 + ... + 4602.

Almost surely, 2^10039728 is an apocalyptic number.

It is an amenable number.

10039728 is an abundant number, since it is smaller than the sum of its proper divisors (16601920).

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

10039728 is a wasteful number, since it uses less digits than its factorization.

10039728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10039728 is about 3168.5529820409. The cubic root of 10039728 is about 215.7283966200.

It can be divided in two parts, 1003 and 9728, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10039728 in words is "ten million, thirty-nine thousand, seven hundred twenty-eight".