10762820328 has 128 divisors (see below), whose sum is σ = 29450534400. Its totient is φ = 3257819136.

The previous prime is 10762820323. The next prime is 10762820357. The reversal of 10762820328 is 82302826701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10762820323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8700126 + ... + 8701362.

It is an arithmetic number, because the mean of its divisors is an integer number (230082300).

Almost surely, 2^10762820328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10762820328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725267200).

10762820328 is an abundant number, since it is smaller than the sum of its proper divisors (18687714072).

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

10762820328 is a wasteful number, since it uses less digits than its factorization.

10762820328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 10762820328 in words is "ten billion, seven hundred sixty-two million, eight hundred twenty thousand, three hundred twenty-eight".