10928332800 has 1134 divisors, whose sum is σ = 50052407769. Its totient is φ = 2270822400.

The previous prime is 10928332787. The next prime is 10928332813. The reversal of 10928332800 is 823382901.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (10928332787) and next prime (10928332813).

It can be written as a sum of positive squares in 2 ways, for example, as 10709766144 + 218566656 = 103488^2 + 14784^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=73920.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 993484795 + ... + 993484805.

Almost surely, 2^10928332800 is an apocalyptic number.

10928332800 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 10928332800

10928332800 is an abundant number, since it is smaller than the sum of its proper divisors (39124074969).

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

10928332800 is a wasteful number, since it uses less digits than its factorization.

10928332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10928332800 in words is "ten billion, nine hundred twenty-eight million, three hundred thirty-two thousand, eight hundred".