10457602728 has 32 divisors (see below), whose sum is σ = 26332101600. Its totient is φ = 3460788288.

The previous prime is 10457602723. The next prime is 10457602733. The reversal of 10457602728 is 82720675401.

10457602728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10457602723) and next prime (10457602733).

It is a super-2 number, since 2×10457602728² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10457602728.

It is not an unprimeable number, because it can be changed into a prime (10457602723) 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 7 ways as a sum of consecutive naturals, for example, 1564051 + ... + 1570722.

It is an arithmetic number, because the mean of its divisors is an integer number (822878175).

Almost surely, 2^10457602728 is an apocalyptic number.

It is an amenable number.

10457602728 is an abundant number, since it is smaller than the sum of its proper divisors (15874498872).

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

10457602728 is a wasteful number, since it uses less digits than its factorization.

10457602728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134921 (or 3134917 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 10457602728 in words is "ten billion, four hundred fifty-seven million, six hundred two thousand, seven hundred twenty-eight".