10828614400 has 108 divisors (see below), whose sum is σ = 27080379592. Its totient is φ = 4286545920.

The previous prime is 10828614373. The next prime is 10828614421. The reversal of 10828614400 is 441682801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612079 + ... + 629521.

Almost surely, 2^10828614400 is an apocalyptic number.

10828614400 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 10828614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540189796).

10828614400 is an abundant number, since it is smaller than the sum of its proper divisors (16251765192).

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

10828614400 is an equidigital number, since it uses as much as digits as its factorization.

10828614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17566 (or 17547 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 10828614400 in words is "ten billion, eight hundred twenty-eight million, six hundred fourteen thousand, four hundred".