10347337728 has 576 divisors, whose sum is σ = 38158848000. Its totient is φ = 2627665920.

The previous prime is 10347337639. The next prime is 10347337739. The reversal of 10347337728 is 82773374301.

10347337728 is a `hidden beast` number, since 103 + 473 + 3 + 7 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51996573 + ... + 51996771.

It is an arithmetic number, because the mean of its divisors is an integer number (66248000).

Almost surely, 2^10347337728 is an apocalyptic number.

10347337728 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 10347337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079424000).

10347337728 is an abundant number, since it is smaller than the sum of its proper divisors (27811510272).

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

10347337728 is a wasteful number, since it uses less digits than its factorization.

10347337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 10347337728 in words is "ten billion, three hundred forty-seven million, three hundred thirty-seven thousand, seven hundred twenty-eight".