10456128 has 70 divisors (see below), whose sum is σ = 31010606. Its totient is φ = 3483648.

The previous prime is 10456123. The next prime is 10456141. The reversal of 10456128 is 82165401.

10456128 is a `hidden beast` number, since 1 + 0 + 45 + 612 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 419904 = 3168^2 + 648^2 .

It is a super-2 number, since 2×10456128² = 218661225504768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10456123) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4176 + ... + 6192.

Almost surely, 2^10456128 is an apocalyptic number.

10456128 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 10456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505303).

10456128 is an abundant number, since it is smaller than the sum of its proper divisors (20554478).

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

10456128 is an equidigital number, since it uses as much as digits as its factorization.

10456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10456128 is about 3233.5936664955. The cubic root of 10456128 is about 218.6705498682.

The spelling of 10456128 in words is "ten million, four hundred fifty-six thousand, one hundred twenty-eight".