10528392960 has 288 divisors, whose sum is σ = 37832477760. Its totient is φ = 2806824960.

The previous prime is 10528392907. The next prime is 10528392971. The reversal of 10528392960 is 6929382501.

10528392960 is a `hidden beast` number, since 1 + 0 + 528 + 39 + 2 + 96 + 0 = 666.

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

It is a super-2 number, since 2×10528392960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2797480 + ... + 2801240.

It is an arithmetic number, because the mean of its divisors is an integer number (131362770).

Almost surely, 2^10528392960 is an apocalyptic number.

10528392960 is a gapful number since it is divisible by the number (10) 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 10528392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18916238880).

10528392960 is an abundant number, since it is smaller than the sum of its proper divisors (27304084800).

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

10528392960 is an frugal number, since it uses more digits than its factorization.

10528392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10528392960 in words is "ten billion, five hundred twenty-eight million, three hundred ninety-two thousand, nine hundred sixty".