10610713728 has 192 divisors, whose sum is σ = 31925836800. Its totient is φ = 3378585600.

The previous prime is 10610713709. The next prime is 10610713733. The reversal of 10610713728 is 82731701601.

10610713728 is a `hidden beast` number, since 1 + 0 + 610 + 7 + 1 + 37 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10610713728² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10610713692 and 10610713701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2819368 + ... + 2823128.

It is an arithmetic number, because the mean of its divisors is an integer number (166280400).

Almost surely, 2^10610713728 is an apocalyptic number.

10610713728 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 10610713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962918400).

10610713728 is an abundant number, since it is smaller than the sum of its proper divisors (21315123072).

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

10610713728 is a wasteful number, since it uses less digits than its factorization.

10610713728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10610713728 in words is "ten billion, six hundred ten million, seven hundred thirteen thousand, seven hundred twenty-eight".