10412928 has 128 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3294720.

The previous prime is 10412903. The next prime is 10412933. The reversal of 10412928 is 82921401.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 79423 + ... + 79553.

It is an arithmetic number, because the mean of its divisors is an integer number (252450).

Almost surely, 2^10412928 is an apocalyptic number.

10412928 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 10412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

10412928 is an abundant number, since it is smaller than the sum of its proper divisors (21900672).

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

10412928 is a wasteful number, since it uses less digits than its factorization.

10412928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10412928 is about 3226.9068781110. The cubic root of 10412928 is about 218.3689848482.

It can be divided in two parts, 1041 and 2928, that added together give a square (3969 = 63²).

The spelling of 10412928 in words is "ten million, four hundred twelve thousand, nine hundred twenty-eight".