10379543328 has 288 divisors, whose sum is σ = 37408355712. Its totient is φ = 2651443200.

The previous prime is 10379543311. The next prime is 10379543329. The reversal of 10379543328 is 82334597301.

10379543328 is a `hidden beast` number, since 1 + 0 + 3 + 79 + 543 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (10379543329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348900 + ... + 1356572.

It is an arithmetic number, because the mean of its divisors is an integer number (129890124).

Almost surely, 2^10379543328 is an apocalyptic number.

10379543328 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 10379543328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18704177856).

10379543328 is an abundant number, since it is smaller than the sum of its proper divisors (27028812384).

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

10379543328 is a wasteful number, since it uses less digits than its factorization.

10379543328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7768 (or 7757 counting only the distinct ones).

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

The spelling of 10379543328 in words is "ten billion, three hundred seventy-nine million, five hundred forty-three thousand, three hundred twenty-eight".