10510648728 has 64 divisors (see below), whose sum is σ = 26913600000. Its totient is φ = 3419052672.

The previous prime is 10510648723. The next prime is 10510648739. The reversal of 10510648728 is 82784601501.

It is a super-2 number, since 2×10510648728² (a number of 21 digits) contains 22 as substring.

10510648728 is a Rhonda number in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10510648728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510648723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380323 + ... + 407021.

It is an arithmetic number, because the mean of its divisors is an integer number (420525000).

Almost surely, 2^10510648728 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 10510648728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456800000).

10510648728 is an abundant number, since it is smaller than the sum of its proper divisors (16402951272).

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

10510648728 is a wasteful number, since it uses less digits than its factorization.

10510648728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27104 (or 27100 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 10510648728 in words is "ten billion, five hundred ten million, six hundred forty-eight thousand, seven hundred twenty-eight".