10864028400 has 120 divisors (see below), whose sum is σ = 34872768000. Its totient is φ = 2891109120.

The previous prime is 10864028321. The next prime is 10864028407. The reversal of 10864028400 is 482046801.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10864028400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10864028407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589729 + ... + 607871.

It is an arithmetic number, because the mean of its divisors is an integer number (290606400).

Almost surely, 2^10864028400 is an apocalyptic number.

10864028400 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 10864028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384000).

10864028400 is an abundant number, since it is smaller than the sum of its proper divisors (24008739600).

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

10864028400 is a wasteful number, since it uses less digits than its factorization.

10864028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18663 (or 18652 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 10864028400 in words is "ten billion, eight hundred sixty-four million, twenty-eight thousand, four hundred".