10124928 has 192 divisors, whose sum is σ = 34369920. Its totient is φ = 2826240.

The previous prime is 10124927. The next prime is 10124951. The reversal of 10124928 is 82942101.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (10124927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 215401 + ... + 215447.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 2^10124928 is an apocalyptic number.

10124928 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 10124928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).

10124928 is an abundant number, since it is smaller than the sum of its proper divisors (24244992).

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

10124928 is a wasteful number, since it uses less digits than its factorization.

10124928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

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

The square root of 10124928 is about 3181.9692016109. The cubic root of 10124928 is about 216.3369227450.

The spelling of 10124928 in words is "ten million, one hundred twenty-four thousand, nine hundred twenty-eight".