10258128 has 30 divisors (see below), whose sum is σ = 28708914. Its totient is φ = 3419328.

The previous prime is 10258121. The next prime is 10258147. The reversal of 10258128 is 82185201.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 3968064 = 2508^2 + 1992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10258121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35475 + ... + 35762.

Almost surely, 2^10258128 is an apocalyptic number.

10258128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10258128 is an abundant number, since it is smaller than the sum of its proper divisors (18450786).

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

10258128 is a wasteful number, since it uses less digits than its factorization.

10258128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71251 (or 71242 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10258128 is about 3202.8312475059. The cubic root of 10258128 is about 217.2814769157.

The spelling of 10258128 in words is "ten million, two hundred fifty-eight thousand, one hundred twenty-eight".