10928908800 has 600 divisors, whose sum is σ = 41258359296. Its totient is φ = 2856591360.

The previous prime is 10928908787. The next prime is 10928908817. The reversal of 10928908800 is 880982901.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 86054337 + ... + 86054463.

Almost surely, 2^10928908800 is an apocalyptic number.

10928908800 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 10928908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629179648).

10928908800 is an abundant number, since it is smaller than the sum of its proper divisors (30329450496).

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

10928908800 is an equidigital number, since it uses as much as digits as its factorization.

10928908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 10928908800 in words is "ten billion, nine hundred twenty-eight million, nine hundred eight thousand, eight hundred".