10353497328 has 240 divisors, whose sum is σ = 31617574560. Its totient is φ = 3243276288.

The previous prime is 10353497303. The next prime is 10353497333. The reversal of 10353497328 is 82379435301.

10353497328 is a `hidden beast` number, since 1 + 0 + 3 + 534 + 97 + 3 + 28 = 666.

10353497328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10353497328⁴ (a number of 41 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30722376 + ... + 30722712.

It is an arithmetic number, because the mean of its divisors is an integer number (131739894).

Almost surely, 2^10353497328 is an apocalyptic number.

10353497328 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 10353497328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15808787280).

10353497328 is an abundant number, since it is smaller than the sum of its proper divisors (21264077232).

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

10353497328 is a wasteful number, since it uses less digits than its factorization.

10353497328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10353497328 in words is "ten billion, three hundred fifty-three million, four hundred ninety-seven thousand, three hundred twenty-eight".