10249128 has 48 divisors (see below), whose sum is σ = 27911520. Its totient is φ = 3397536.

The previous prime is 10249123. The next prime is 10249133. The reversal of 10249128 is 82194201.

10249128 is a nontrivial binomial coefficient, being equal to C(4528, 2).

It is an interprime number because it is at equal distance from previous prime (10249123) and next prime (10249133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249121) 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 11 ways as a sum of consecutive naturals, for example, 20125 + ... + 20627.

It is an arithmetic number, because the mean of its divisors is an integer number (581490).

Almost surely, 2^10249128 is an apocalyptic number.

10249128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10249128 is the 4527-th triangular number and also the 2264-th hexagonal number.

It is an amenable number.

10249128 is an abundant number, since it is smaller than the sum of its proper divisors (17662392).

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

10249128 is a wasteful number, since it uses less digits than its factorization.

10249128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 791 counting only the distinct ones).

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

The square root of 10249128 is about 3201.4259322995. The cubic root of 10249128 is about 217.2179141335.

The spelling of 10249128 in words is "ten million, two hundred forty-nine thousand, one hundred twenty-eight".