10455328 has 48 divisors (see below), whose sum is σ = 22745016. Its totient is φ = 4700160.

The previous prime is 10455311. The next prime is 10455329. The reversal of 10455328 is 82355401.

It can be written as a sum of positive squares in 4 ways, for example, as 1140624 + 9314704 = 1068^2 + 3052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10455296 and 10455305.

It is not an unprimeable number, because it can be changed into a prime (10455329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16750 + ... + 17362.

Almost surely, 2^10455328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10455328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11372508).

10455328 is an abundant number, since it is smaller than the sum of its proper divisors (12289688).

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

10455328 is a wasteful number, since it uses less digits than its factorization.

10455328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 10455328 is about 3233.4699627490. The cubic root of 10455328 is about 218.6649728866.

The spelling of 10455328 in words is "ten million, four hundred fifty-five thousand, three hundred twenty-eight".