10457933328 has 200 divisors, whose sum is σ = 31472390400. Its totient is φ = 3348967680.

The previous prime is 10457933309. The next prime is 10457933329. The reversal of 10457933328 is 82333975401.

10457933328 is a `hidden beast` number, since 10 + 4 + 579 + 33 + 32 + 8 = 666.

10457933328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10457933329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5985351 + ... + 5987097.

It is an arithmetic number, because the mean of its divisors is an integer number (157361952).

Almost surely, 2^10457933328 is an apocalyptic number.

10457933328 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 10457933328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15736195200).

10457933328 is an abundant number, since it is smaller than the sum of its proper divisors (21014457072).

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

10457933328 is a wasteful number, since it uses less digits than its factorization.

10457933328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10457933328 in words is "ten billion, four hundred fifty-seven million, nine hundred thirty-three thousand, three hundred twenty-eight".