10013928 has 32 divisors (see below), whose sum is σ = 25121760. Its totient is φ = 3326400.

The previous prime is 10013917. The next prime is 10013933. The reversal of 10013928 is 82931001.

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 = 10013898 and 10013907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9003 + ... + 10053.

It is an arithmetic number, because the mean of its divisors is an integer number (785055).

Almost surely, 2^10013928 is an apocalyptic number.

It is an amenable number.

10013928 is an abundant number, since it is smaller than the sum of its proper divisors (15107832).

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

10013928 is a wasteful number, since it uses less digits than its factorization.

10013928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10013928 is about 3164.4791040549. The cubic root of 10013928 is about 215.5434458228.

Adding to 10013928 its reverse (82931001), we get a palindrome (92944929).

It can be divided in two parts, 100 and 13928, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 10013928 in words is "ten million, thirteen thousand, nine hundred twenty-eight".