10315193328 has 240 divisors, whose sum is σ = 33315010560. Its totient is φ = 2946585600.

The previous prime is 10315193279. The next prime is 10315193393. The reversal of 10315193328 is 82339151301.

10315193328 is a `hidden beast` number, since 1 + 0 + 315 + 1 + 9 + 332 + 8 = 666.

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 = 10315193292 and 10315193301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7011633 + ... + 7013103.

It is an arithmetic number, because the mean of its divisors is an integer number (138812544).

Almost surely, 2^10315193328 is an apocalyptic number.

10315193328 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 10315193328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16657505280).

10315193328 is an abundant number, since it is smaller than the sum of its proper divisors (22999817232).

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

10315193328 is a wasteful number, since it uses less digits than its factorization.

10315193328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10315193328 in words is "ten billion, three hundred fifteen million, one hundred ninety-three thousand, three hundred twenty-eight".